Area Builder

This simulation has not been translated into this language. You can still access the English version below.

Area Builder وێنه‌ی شاشه‌  دابه‌زێن  Embed
  • پانتایی
  • Perimeter
  • Fractional areas


  • پانتایی
  • Perimeter
  • Fractional areas
  • Scale factors


Create your own shapes using colorful blocks and explore the relationship between perimeter and area. Compare the area and perimeter of two shapes side-by-side. Challenge yourself in the game screen to build shapes or find the area of funky figures. Try to collect lots of stars!

Sample Learning Goals

  • Find the area of a shape by counting unit squares
  • Describe the relationship between area and perimeter
  • Build shapes with a given area and/or perimeter
  • Find the area of an irregular shape by decomposing into smaller, regular shapes (e.g., rectangles, triangles, squares)
  • Determine the scale factor of similar shapes
  • Generalize how area and perimeter change when scaling shapes

Standards Alignment

Common Core - Math

Recognize area as an attribute of plane figures and understand concepts of area measurement.
A square with side length 1 unit, called "a unit square," is said to have "one square unit" of area, and can be used to measure area.
A plane figure which can be covered without gaps or overlaps by n unit squares is said to have an area of n square units.
Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
Relate area to the operations of multiplication and addition.
Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.
Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a × b and a × c. Use area models to represent the distributive property in mathematical reasoning.
Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.
Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, and exhibiting rectangles with the same perimeter and different areas or with the same area and different perimeters.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Version 1.1.17

Teacher Tips

Overview of sim controls, model simplifications, and insights into student thinking ( PDF ).

Video Primer

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Teacher-Submitted Activities

Scaling Shapes Activity and Lesson A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Amanda McGarry HS
Guided بیرکاری
Preguntas de razonamiento para todas las simulaciones HTML5 A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. This contribution was designed by PhET. Diana López MS
Áreas y Perímetros A gold star indicates high-quality, inquiry-based activities that follow the PhET design guidelines. Yarely Mariana Vela Soberanis MS
Middle School Math Sim Alignment This contribution was designed by PhET. Amanda McGarry MS دیکه‌ بیرکاری
Alignment of PhET sims with NGSS This contribution was designed by PhET. Trish Loeblein HS دیکه‌ ژیناسی
زانستی زه‌وی
How do PhET simulations fit in my middle school program? This contribution was designed by PhET. Sarah Borenstein MS دیکه‌ فیزیا
زانستی زه‌وی
Mali majstor za površine Anita Sečan دیکه‌ Guided بیرکاری
Veliki majstor za površine Anita Sečan دیکه‌ دیکه‌ بیرکاری
MS and HS TEK to Sim Alignment Elyse Zimmer MS
دیکه‌ کیمیا
Border Problem - Intro to Algebraic Expressions Jennifer Moeller HS
Fencing Spaces: Fixed Perimeter, Changing Area Krystle Hapner K-5
Guided بیرکاری
Exploring Rectangles (area and perimeter) Conor Doyle K-5 Guided
Building Area and Perimeter Jasmine Sidana K-5 Guided بیرکاری
Creating a Garden Alanna Toomey K-5 Guided بیرکاری
Area Builder Lesson Stefanie Akrish K-5 HW
Area Builder for grades 3-5 Molly Martin K-5 Guided بیرکاری
What's My Area? Rachael Ortega K-5 تاقیگه‌
Figuras Semelhantes Prof. Ms. Ana Paula Rodrigues Alves / Prof. Dr. Francisco Régis Vieira Alves MS Guided بیرکاری
Área de Figuras Planas Maria Helena de Andrade MS تاقیگه‌

زوان Download or Run Tips
Arabic All العربية Download Run now بناء المساحة
Basque All Basque Download Run now Azalera eraikitzailea
Bosnian All Bosanski Download Run now "Majstor" za površine
Brazilian Portuguese All português (Brasil) Download Run now Construtor de Área
Chinese - Simplified All 中文 (中国) Download Run now 区域建造者
Chinese - Traditional All 中文 (台灣) Download Run now Area Builder_周長與面積
Danish All Dansk Download Run now Arealbygger
Dutch All Nederlands Download Run now Oppervlaktebouwer
Finnish All suomi Download Run now Pinta-alan rakentaja
French All français Download Run now Constructeur d'Aire
Georgian All ქართული Download Run now ფართობის მშენებელი
German All Deutsch Download Run now Flächen belegen
Greek All Ελληνικά Download Run now Δημιουργός περιοχών
Gujarati All Gujarati Download Run now ક્ષેત્રફળ શીખો - બાય નિકુંજ સવાણી
Hebrew All עברית Download Run now בונה שטחים
Hindi All हिंदी Download Run now क्षेत्रफल निर्माण 
Hungarian All magyar Download Run now Területépítő
Irish All Gaeilge Download Run now Tógálaí Achair
Italian All italiano Download Run now Disegna un'area
Japanese All 日本語 Download Run now 図形の面積
Kannada All Kannada Download Run now ಪ್ರದೇಶ ನಿರ್ಮಾಣ
Kazakh All Kazakh Download Run now Фигуралардың конструкторы
Korean All 한국어 Download Run now 면적 생성기
Latvian All Latviešu Download Run now Figūru laukumi
Malayalam All Malayalam Download Run now പരപ്പളവ് നിര്‍മാണം
Maori All Maori Download Run now Hangaia he Horahanga
Marathi All मराठी Download Run now क्षेत्रफ़ळ शोधा
Mongolian All Монгол (Монгол) Download Run now Талбай байгуулагч
Norwegian Nynorsk All Norwegian Nynorsk Download Run now Arealbyggar
Polish All polski Download Run now Budowniczy powierzchni
Portuguese All português Download Run now Construtor de Áreas
Russian All русский Download Run now Конструктор фигур
Serbian All Српски Download Run now "Мајстор" за површине
Sinhalese All Sinhalese Download Run now වර්ගඵලය ගොඩනඟමු
Slovak All Slovenčina Download Run now Staviteľ plochy
Slovenian All Slovenščina Download Run now Ploščina in obseg
Spanish All español Download Run now Constructor de Áreas
Spanish (Mexico) All español (México) Download Run now Constructor de Áreas
Spanish (Peru) All español (Perú) Download Run now Constructor de Áreas
Spanish (Spain) All español (España) Download Run now Constructor de áreas
Swedish All svenska Download Run now Bygg area
Tamil All Tamil Download Run now பரப்பளவு கட்டுபவர்
Turkish All Türkçe Download Run now Alan Oluşturucu
Ukrainian All українська Download Run now Будівник площі
Vietnamese All Tiếng Việt Download Run now Diện tích

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iOS 11+ Safari
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Linux Systems:
Not officially supported. Please contact with troubleshooting issues.

Design Team Third-party Libraries سوپاس بۆ
  • Karina Hensberry (lead)
  • John Blanco (developer)
  • Bryce Gruneich
  • Amanda McGarry
  • Ariel Paul
  • Kathy Perkins
  • Beth Stade
  • almond-0.2.9.js
  • easing-equations-r12
  • FileSaver-b8054a2.js
  • fontawesome-webfont-3.0.2.svg
  • game-up-camera-1.0.0.js
  • jama-1.0.2
  • jquery-2.1.0.js
  • lodash-2.4.1.js
  • pegjs-0.7.0.js
  • seedrandom-2.4.2.js
  • text-2.0.12.js
  • Tween-r12.js