Persegi: Pengertian, Sifat, Keliling, dan Luas (2024)

Kompas.com - 28/06/2023, 21:45 WIB

Retia Kartika Dewi,
Serafica Gischa

Tim Redaksi

Retia Kartika Dewi Penulis Serafica Gischa Editor

Persegi: Pengertian, Sifat, Keliling, dan Luas (1)

Lihat Foto

Persegi adalah segi empat yang keempat sisinya sama panjang dan keempat sudutnya siku-siku.(Kompas.com/Retia Kartika Dewi)

Cari soal sekolah lainnya

KOMPAS.com - Segi empat merupakan sebuah bangun yang dibatasi oleh 4 buah sisi dan memiliki 4 titik sudut.

Dikutip dari buku Rahasia Inti Rumus Matematika SMP Kelas 7,8,9 (2015) oleh Desy Ambarwati, segi empat ada 6 macam, yaitu persegi, persegi panjang, belah ketupat, trapesium, jajar genjang, dan layang-layang.

Kali ini, kita akan membahas bangun datar persegi terlebih dulu.

Baca juga: Cara Menghitung Luas 6 Seperempat Lingkaran dan Keliling Persegi ABCD

Pengertian persegi

Persegi adalah segi empat yang keempat sisinya sama panjang dan keempat sudutnya siku-siku atau 90°.

Persegi juga bisa disebut dengan bujur sangkar.

Sifat-sifat persegi

Berikut sifat-sifat pada bangun datar persegi:

  • Keempat sisinya sama panjang
  • Keempat sudutnya siku-siku, besarnya 90°
  • Memiliki4 sumbu simetri
  • Diagonalnya berpotongan tegak lurus dan saling membagi 2 sama panjang

Baca juga: Daftar Banyaknya Simetri Lipat dan Simetri Putar Persegi, Persegi Panjang, Segitiga, Trapesium, Jajar Genjang, Layang-layang, Belah-Ketupat, dan Lingkaran

Keliling persegi

Keliling persegi adalah jumlahan dari keempat sisi persegi.

Rumus keliling persegi = sisi + sisi + sisi + sisi
= 4 x sisi

Luas persegi

Luas persegi adalah luas daerah persegi. Misalkan, panjang sisi persegi adalah s, maka:

AB = BC = CD = AD = sisi = s

Rumus luas persegi = sisi x sisi = s²

Dikutip dari buku Kupas Habis Semua Pelajaran SD/MI Kelas 3 (2011) oleh Tim Guru Indonesia, agar lebih memahami materi persegi, simak contoh soal dan pembahasannya:

Baca juga: Rumus Keliling Persegi, Jawaban Soal TVRI 13 Agustus 2020

Contoh soal 1

Perhatikan gambar di bawah ini.

Persegi: Pengertian, Sifat, Keliling, dan Luas (4) gambar persegi

Hitunglah luas dan keliling persegi di atas!

Halaman Berikutnya

Jawab:Panjang sisi persegi tersebut adalah…

Halaman:

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Baca tentang

  • Serba-Serbi Persegi dalam Matematika

Tag

  • persegi adalah
  • apa itu persegi
  • rumus keliling persegi
  • rumus luas persegi
  • sifat-sifat persegi
  • cara menghitung persegi satuan
  • materi matematika kelas 3
Lihat Skola Selengkapnya
  • Cara Mencari Panjang dan Lebar pada Persegi Panjang
  • Rumus Luas serta Keliling Segitiga, Persegi, Persegi Panjang, Jajar Genjang, Belah Ketupat, Layang-layang, Trapesium, dan Lingkaran
  • Daftar Banyaknya Simetri Lipat dan Simetri Putar Persegi, Persegi Panjang, Segitiga, Trapesium, Jajar Genjang, Layang-layang, Belah-Ketupat, dan Lingkaran
  • Cara Mencari Panjang dan Lebar pada Bingkai Foto Berbentuk Persegi Panjang
  • Cara Menghitung Luas 6 Seperempat Lingkaran dan Keliling Persegi ABCD

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Konten disembunyikan.
Muat ulang halaman untuk perbarui rekomendasi.

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' + item.method.toUpperCase()); } else { var sourceDiv = createElement('div', null, null, [cssClasses.source], resultObj.engine['type']); } var textWrapper = createElement('div', null, null, [cssClasses.text_wrapper]); textWrapper.appendChild(categoryDiv); textWrapper.appendChild(titleDiv); textWrapper.appendChild(sourceDiv); recItemWrapper.appendChild(imgWrapper); recItemWrapper.appendChild(textWrapper); recItemWrapperA.appendChild(recItemWrapper); recItem.appendChild(recItemWrapperA); widgetWrapper.appendChild(recItem); // hook up the click handler for this item // recItem.onclick = handleClick.bind(null, jxRecHelper, itemUrl + tracker_params, index); recItemWrapperA.onclick = handleClick.bind(null, jxRecHelper, itemUrl + tracker_params, index); }); } // end while var endDate = new Date(); var loadtime = (endDate.getTime() - startDate.getTime()); trackEventGa('AIML Article Recommendation', 'Content Loaded', 'algsrc='+algsrc+',site=SKOLA,device=desktop,loadtime=' + loadtime) let domain = window.location.hostname; if(domain=='www.kompas.com'){ var url=window.location.href.split("/"); domain=url[2]+'/'+url[3] } let user_subs_type = "Gues"; let subs_type = ""; let is_lgn = 0; let engine = algsrc; if(getCookie('kmps_usrid')){is_lgn=1}; let time_load = loadtime; trackMixpanel(domain, user_subs_type, subs_type, is_lgn, 'success', time_load, engine); resolve(); /*** * JXRECSDK NOTES 3 of 5 - * pass all the info about the items to the rec helper * each one is an object: ALL MANDATORY * div * id * pos */ jxRecHelper.items(widgetItemArr); /*** * JXRECSDK NOTES 4 of 5 - * Call the ready() of the helper object when the recommendation * results have been populated to the widget * (This will register the action=ready event) */ if (resultObj.engine['type'] == 'api-1') { jxRecHelper.ready(resultObj.options.algo + ":" + resultObj.options.version); } else { jxRecHelper.ready(resultObj.engine['type']); } } else { jxRecHelper.error(204); console.error("Error: no recommendation items"); return; } } catch (err) { jxRecHelper.error(901); console.log(err.stack); let domain = window.location.hostname; if(domain=='www.kompas.com'){ var url=window.location.href.split("/"); domain=url[2]+'/'+url[3] } let user_subs_type = "Gues"; let subs_type = "" let is_lgn = 0; let engine = algsrc; if(getCookie('kmps_usrid')){is_lgn=1}; let endDate = new Date(); let time_load = (endDate.getTime() - startDate.getTime()); trackMixpanel(domain, user_subs_type, subs_type, is_lgn, 'fail', time_load, engine); } }); } const _jxRecSdkURL = 'https://scripts.jixie.media/jxrecsdk.1.0.min.js'; var startDate = new Date(); class OneWidget { constructor() { //this is also the one we will pass to the JX rec helper object when //we instantiate it: //In this implementation most of these come from the options obj //on the publisher page. this._options = { accountid: '9262bf2590d558736cac4fff7978fcb1', pageurl: 'https://www.kompas.com/skola/read/2023/06/28/214500069/persegi--pengertian-sifat-keliling-dan-luas', widget_id: '1000183-6xWeiWZFIM', type: 'pages', container: 'rekomendasi-konten-pilihan-untukmu-aiml', keywords: content_tags, title: title, customid: "69", count: 14, }; this._containerId = this._options.container; this._container = document.getElementById(this._containerId); this._engines = [{"url":"https:\/\/recommendation.jixie.media\/v1\/recommendation","method":"GET","pageurl":"https:\/\/www.kompas.com\/skola\/read\/2023\/06\/28\/214500069\/persegi--pengertian-sifat-keliling-dan-luas","system":"jx","type":"api-1","tracker_params":"?source=widgetML","tracker_algsrc":"V","count":14,"page_status":"read","excludeitemids":"20230628214500069"}]; } kickOff() { startDate = new Date(); const rand = Math.floor(Math.random() * 1000); /*const randSystem = Math.floor(Math.random() * 3); this._engine = this._engines[randSystem] if (location.hostname.indexOf('lestari') != -1) { this._engine = this._engines[1] }*/ this._engine = this._engines[0]; this._options.system = this._engine['system'] trackEventGa('AIML Article Recommendation', 'Widget load', 'algsrc=' + this._engine['tracker_algsrc'] + ',site=SKOLA,device=desktop') let promJXSDK = fetchJSFileP(_jxRecSdkURL); let thisObj = this; // first we wait on the JX REC SDK to be loaded and initialized let recHelperObj = null; let recResults = null; promJXSDK .then(function() { /*** * JXRECSDK NOTES 1 of 5 - INSTANTIATION OF A JX REC HELPER OBJECT * Call this AFTER JX REC SDK is loaded but BEFORE you call your REC * backend. * * param: MANDATORY options object * options object must at a minimal have * accountid: get from jixie * widgetid: get from jixie * container: DIV ID of the destination div to house the widget * (for jixie widget this is just the options object passed from the page) * * (This will also register the action=load event) */ recHelperObj = jxRecMgr.createJxRecHelper(thisObj._options); let basicInfo = thisObj._options; basicInfo.engine = thisObj._engine if (basicInfo.engine.type == 'api-1') { var options = { count: basicInfo['count'], adpositions: "", keywords: basicInfo['keywords'], title: basicInfo['title'], date_published: "2023-06-28", pagecategory: "SKOLA", algo: "mixed" }; if(getCookie('kmps_usrid')){ var kg = { pagetype:basicInfo.engine.page_status, uid:getCookie('kmps_usrid'), ukid:getCookie('kmp_uid') } if(basicInfo.engine.page_status=='read'){ kg['excludeitemids'] = basicInfo.engine.excludeitemids; kg['multiFormat'] = true; } options['additional'] = { kg:kg }; } return recHelperObj.getJxRecommendations(options); } else { return fetchRecommendationsP(basicInfo, recHelperObj.getJxUserInfo()); } }) .then(function(resp) { if (thisObj._engine.type == 'api-3') { recResults = new Object recResults.items = resp.docs.result; } else { recResults = resp; } recResults.engine = thisObj._engine; if (!resp || !recResults.items || recResults.items.length == 0) { /*** * JXRECSDK NOTES 2 of 5 - * Call the error() function on the recHelper when either an error * has occured in the fetching or there are no recommended items * * (This will register the action=error event) */ recHelperObj.error(204); throw "no recommendation results"; } }) .then(function() { // everything is ready (recommendation results, css): document.getElementById("rekomendasi-konten-pilihan-untukmu-aiml").classList.remove("-loading"); document.querySelector('.wSpec-list').remove(); createDisplay(rand, thisObj._container, recResults, recHelperObj) .then(function() { toggleDropdown(); //observe lozad lozad('.lozad', { load: function(el) { el.src = el.dataset.src; el.onload = function() { el.classList.add('fade') } } }).observe() }) }) .catch(function(error) { console.log(`Unable to create recommendations widget ${error.stack} ${error.message}`); }); } } var limit_gtm_ready = 1; function check_gtm_ready() { if ('ga' in window) { // create a new instance of our widget based on the options const newW = new OneWidget(); newW.kickOff(); } else { const timeout_gtm_ready = setTimeout(check_gtm_ready, 500) limit_gtm_ready += 1; if (limit_gtm_ready > 10) { clearTimeout(timeout_gtm_ready); const newW = new OneWidget(); newW.kickOff(); } } } check_gtm_ready() document.querySelector('.wSpec-secret').addEventListener('click', function(e) { e.preventDefault(); let wSl = document.querySelectorAll('.wSpec-source'); if (wSl.length > 0) { for (let i = 0; i < wSl.length; i++) { wSl[i].classList.toggle('show') } } }) function trackEventGa(category, action, label) { if ("ga" in window) { ga(function() { tracker = ga.getAll()[0]; if (tracker) { tracker.send("event", category, action, label); console.log('track event ', category, action, label) } }) } } function trackMixpanel(domain, user_subs_type, subs_type, is_lgn, is_load, time_load, engine){ // if(domain.indexOf("katanetizen") != -1){ // console.log("sini", domain, user_subs_type, subs_type, is_lgn, is_load, time_load, engine); // mixpanel.track('AIML Widget Loaded', { // 'Page Type': 'Read', // 'Page Domain': domain, // 'Page Subscription Type': subs_type, // 'Login Status': is_lgn, // 'Load Status': is_load, // 'Load Time': time_load, // 'Engine': engine, // 'Widget Type': 'Article', // }); mixpanel.track('aiml_content_loaded', { 'Page Type': '', 'Page Domain': 'Kompas.com', 'User Type': user_subs_type, 'Page Subscription Type': subs_type, 'Log In Status': is_lgn, 'Load Status': is_load, 'Load Time': time_load, 'Engine': engine, 'Widget Type': 'Article', }); console.log('track mix panel', 'AIML Widget Loaded', 'Read') let kmp_nm = getCookie('kmp_nm'); if(kmp_nm){ distinct_id = mixpanel.get_distinct_id(); mixpanel.identify(distinct_id); mixpanel.people.set({ '$name': atob(kmp_nm), 'Subscription Type': subs_type, }); console.log('track mix panel people', 'AIML Widget Loaded', 'Read') } // } } function formBody(obj) { let formBody = []; for (var property in obj) { let encodedKey = encodeURIComponent(property); let encodedValue = encodeURIComponent(obj[property]); formBody.push(encodedKey + "=" + encodedValue); } return formBody.join("&"); } function getCookie(name) { var name = name + '='; var cookies = decodeURIComponent(document.cookie).split(';'); for (var i = 0; i < cookies.length; i++) { var c = cookies[i]; while (c.charAt(0) == ' ') { c = c.substring(1); } if (c.indexOf(name) == 0) { return c.substring(name.length, c.length); } } } function get_guid(url) { const videoPath = url.match(/\/watch\/(\d+)/); if (videoPath) { return `video.${videoPath[1]}`; } let arrayUrl = url.split('/'); let readPath = arrayUrl.indexOf('read'); if (arrayUrl[readPath + 1] == 'xml') { readPath += 1; } let year = arrayUrl[readPath + 1]; let month = arrayUrl[readPath + 2]; let date = arrayUrl[readPath + 3]; let id = arrayUrl[readPath + 4]; let guid = `.xml.${year}.${month}.${date}.${id}`; return guid; } function toggleDropdown() { let tdd = document.querySelectorAll('[data-dropdown]') if (!!tdd) { tdd.forEach((el) => { el.addEventListener('click', function() { el.parentElement.classList.toggle('-active') let saved = el.parentElement.getAttribute('data-saved') let kmps_usrid = getCookie('kmps_usrid'); if (kmps_usrid && !saved && el.parentElement.classList.contains('-active')) { let url = el.parentElement.getAttribute('data-url'); let guid = get_guid(url); check_bookmark( kmps_usrid, guid ).then(function(resp) { if (resp.hasOwnProperty('total_data')) { if (resp.total_data > 0) { el.parentElement.querySelector('.buttonBookmark').classList.add('-active'); el.parentElement.querySelector('.buttonBookmark').innerHTML = 'Hapus dari tersimpan'; el.parentElement.setAttribute('data-saved', 'true'); } else { el.parentElement.setAttribute('data-saved', 'false'); } } }) } }) document.addEventListener("click", function(e) { // console.log(e.target) if (el.contains(e.target)) { // console.log(tdd) } else { el.parentElement.classList.remove('-active') } }); }); } } function check_bookmark(kmps_usrid, guid) { let url = `https://api.kompas.com/2021/reaction/bookmark/list?kmps_usrid=${kmps_usrid}&guid=${guid}`; return new Promise(function(resolve, reject) { var xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 200) { resolve(JSON.parse(this.responseText)) } }; xmlhttp.open("GET", url, true); xmlhttp.send(); }); } function do_bookmark(pageurl, pos, userFeedback) { const wSpecItem = document.querySelector(`.wSpec-item[data-index="${pos}"]`); const btnBookmark = wSpecItem.querySelector('.buttonBookmark'); const kmps_usrid = getCookie('kmps_usrid'); const guid = get_guid(pageurl); const type = pageurl.match(/\/watch\/(\d+)/) ? 'video' : 'article'; if (kmps_usrid) { if (btnBookmark.classList.contains('-active')) { set_unbookmark({ guid: guid, kmps_usrid: kmps_usrid, type: type }).then(function(resp) { btnBookmark.classList.remove('-active'); btnBookmark.innerHTML = 'Simpan artikel'; reactionToast('Artikel berhasil dihapus dari list yang disimpan'); userFeedback.event('un-save'); }).catch(function(resp) { // message: "Data doesn't exists" if (resp.hasOwnProperty('message') && resp.message.includes('exist')) { btnBookmark.classList.remove('-active'); btnBookmark.innerHTML = 'Simpan artikel'; reactionToast('Artikel berhasil dihapus dari list yang disimpan'); } }) } else { const user_bookmark_url = "https://activity.kompas.com/saved?order=desc"; set_bookmark({ guid: guid, kmps_usrid: kmps_usrid, type: type, publisher: 'kompas', platform: 'desktop' }).then(function(resp) { btnBookmark.classList.add('-active'); btnBookmark.innerHTML = 'Hapus dari tersimpan'; reactionToast('Artikel berhasil disimpan', user_bookmark_url); userFeedback.event('save'); }).catch(function(resp) { // message: "Data already exist" if (resp.hasOwnProperty('message') && resp.message.includes('exist')) { btnBookmark.classList.add('-active'); btnBookmark.innerHTML = 'Hapus dari tersimpan'; reactionToast('Artikel berhasil disimpan', user_bookmark_url); } }) } } else { const login_url = "https://account.kompas.com/login/a29tcGFz/" + btoa(window.location.href); window.location.href = login_url; } } function set_bookmark(data) { const url = "https://api.kompas.com/2021/reaction/bookmark/add"; return new Promise(function(resolve, reject) { const xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 201) { resolve(JSON.parse(this.responseText)); } else if (this.readyState == 4 && this.status == 400) { reject(JSON.parse(this.responseText)); } }; xmlhttp.open("POST", url, true); xmlhttp.setRequestHeader("Content-Type", "application/x-www-form-urlencoded;charset=UTF-8"); xmlhttp.send(formBody(data)); }); } function set_unbookmark(data) { const url = "https://api.kompas.com/2021/reaction/bookmark/delete"; return new Promise(function(resolve, reject) { const xmlhttp = new XMLHttpRequest(); xmlhttp.onreadystatechange = function() { if (this.readyState == 4 && this.status == 200) { resolve(JSON.parse(this.responseText)); } else if (this.readyState == 4 && this.status == 400) { reject(JSON.parse(this.responseText)); } }; xmlhttp.open("POST", url, true); xmlhttp.setRequestHeader("Content-Type", "application/x-www-form-urlencoded;charset=UTF-8"); xmlhttp.send(formBody(data)); }); } class UserFeedback { constructor(engine, pageurl, jxRecHelper, pos) { this.engine = engine; this.pageurl = pageurl; this.jxRecHelper = jxRecHelper; this.pos = pos; } event(feedback) { if (this.engine == 'C') { const xmlhttp = new XMLHttpRequest(); let params = { domain: 'kompas.com', ce_userid: getCookie('kmps_usrid'), ce_sessionid: getCookie('ukid'), ce_pageurl: this.pageurl, engine: 'C', ce_feedback: feedback } xmlhttp.open("GET", 'https://apis.kgdata.dev/v1/aiml/feedback-widgetml' + formatParams(params)); xmlhttp.send(); } else if (this.engine == 'V') { if (feedback == 'share') { this.jxRecHelper.shared(this.pos); } else if (feedback == 'save') { this.jxRecHelper.bookmarked(this.pos); } else if (feedback == 'not-interested') { this.jxRecHelper.hidden(this.pos); } else if (feedback == 'un-not-interested') { this.jxRecHelper.unhidden(this.pos); } } } } function formatParams(params) { return "?" + Object .keys(params) .map(function(key) { return key + "=" + encodeURIComponent(params[key]) }) .join("&") } document.addEventListener("click", function(e){ let dx = document.querySelectorAll('[data-dropdown]') if(dx) { dx.forEach(function(el){ if(el.contains(e.target)) { el.parentElement.classList.toggle('-active') } else { el.parentElement.classList.remove('-active') } }) } })

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Cari soal sekolah lainnya

Berita Terkait

Cara Mencari Panjang dan Lebar pada Persegi Panjang

Rumus Luas serta Keliling Segitiga, Persegi, Persegi Panjang, Jajar Genjang, Belah Ketupat, Layang-layang, Trapesium, dan Lingkaran

Daftar Banyaknya Simetri Lipat dan Simetri Putar Persegi, Persegi Panjang, Segitiga, Trapesium, Jajar Genjang, Layang-layang, Belah-Ketupat, dan Lingkaran

Cara Mencari Panjang dan Lebar pada Bingkai Foto Berbentuk Persegi Panjang

Cara Menghitung Luas 6 Seperempat Lingkaran dan Keliling Persegi ABCD

As an enthusiast and expert in the field of mathematics, particularly geometry and shapes, I find the article from Kompas.com dated 28/06/2023 intriguing. The piece discusses various aspects of a quadrilateral, specifically a square or "persegi" in Bahasa Indonesia. Now, let's delve into the concepts covered in the article:

Key Concepts:

  1. Quadrilaterals:

    • The article discusses quadrilaterals, which are polygons with four sides. In particular, it focuses on a special type called a square or "persegi."
  2. Types of Quadrilaterals:

    • The article mentions that there are six types of quadrilaterals, including square ("persegi"), rectangle ("persegipanjang"), rhombus ("belahketupat"), trapezium ("trapesium"), parallelogram ("jajargenjang"), and kite ("layang-layang").
  3. Definition of a Square ("Persegi"):

    • A square is defined as a type of quadrilateral with all four sides of equal length and all four angles being right angles (90°). It is also referred to as "bujursangkar."
  4. Properties of a Square:

    • The article lists several properties of a square:
      • All four sides are of equal length.
      • All four angles are right angles (90°).
      • It has four lines of symmetry.
      • The diagonals are perpendicular and bisect each other.
  5. Perimeter of a Square ("Keliling Persegi"):

    • The perimeter (keliling) of a square is defined as the sum of all four sides. The formula is given as 4 x sisi (4 times the length of one side).
  6. Area of a Square ("Luas Persegi"):

    • The area (luas) of a square is defined as the product of the length of one side squared. The formula is given as sisi x sisi or sisi^2.
  7. Example Problem:

    • The article provides an example problem where the reader is asked to calculate the area and perimeter of a given square by identifying the length of its sides.

Additional Concepts:

  • Symmetry:

    • The article briefly mentions symmetry, both line symmetry and rotational symmetry, in the context of squares and other quadrilaterals.
  • Educational Context:

    • The article references educational materials such as the book "Rahasia Inti Rumus Matematika SMP Kelas 7,8,9 (2015)" and "Kupas Habis Semua Pelajaran SD/MI Kelas 3 (2011)" to provide a deeper understanding of the square and related concepts.

In summary, the article provides a comprehensive overview of the properties, definitions, and formulas related to squares, a specific type of quadrilateral. It also includes practical problem-solving exercises to reinforce the concepts discussed.

Persegi: Pengertian, Sifat, Keliling, dan Luas (2024)

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