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Square – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">SquareSquare – Definition, ExamplesTable of ContentsSquare in Mathematics Definition of Square

A square is a two-dimensional closed shape with 444 equal sides and 444 vertices. It is a special type of quadrilateral where all sides have the same length and all interior angles measure exactly 909090 degrees (right angles). The opposite sides of a square are parallel to each other, and you can also think of a square as a rectangle where the length equals the width.

A square has several important properties that make it unique. It has 444 sides and 444 vertices (corners), with all sides being equal in length. All four interior angles are right angles (90°90°90°), and the sum of all interior angles equals 360°360°360°. The square's two diagonals are equal in length, and they bisect each other at right angles. Many objects in everyday life have square shapes, such as chessboards, photo frames, and pizza boxes.

Examples of Square Calculations Example 1: Finding the Area of a Square Problem:

The side of a square paper is 121212 feet. Find the area of the paper.

A square with a side length of 12 feet

Step-by-step solution:

Step 1, Remember the formula for the area of a square. The area equals side length squared.

Area=s2\text{Area} = s^2Area=s2 where sss is the length of the side.

Step 2, Put the known value into the formula. Since the side length is 121212 feet, we have:

Area=122\text{Area} = 12^2Area=122

Step 3, Calculate the area by multiplying 121212 by itself.

Area=12×12=144\text{Area} = 12 \times 12 = 144Area=12×12=144 square feet Example 2: Finding the Side Length from Perimeter Problem:

If the perimeter of a square measures 686868 cm, what is the measure of its side?

Step-by-step solution:

Step 1, Recall the formula for the perimeter of a square. The perimeter equals 444 times the side length.

Perimeter=4×s\text{Perimeter} = 4 \times sPerimeter=4×s where sss is the length of the side.

Step 2, Set up an equation using the known perimeter. Since the perimeter is 686868 cm, we have:

4×s=684 \times s = 684×s=68

Step 3, Solve for the side length by dividing both sides by 444.

s=684=17s = \frac{68}{4} = 17s=468​=17 cm Example 3: Calculating the Perimeter from Side Length Problem:

What is the perimeter of a square that has a side of 151515 meters?

A square with a side length of 15m

Step-by-step solution:

Step 1, Remember the perimeter formula for a square. The perimeter equals 444 times the side length.

Perimeter=4×s\text{Perimeter} = 4 \times sPerimeter=4×s where sss is the length of the side.

Step 2, Put the known value into the formula. Since the side length is 151515 meters, we have:

Perimeter=4×15\text{Perimeter} = 4 \times 15Perimeter=4×15

Step 3, Calculate the perimeter by multiplying 444 by 151515.

Perimeter=4×15=60\text{Perimeter} = 4 \times 15 = 60Perimeter=4×15=60 meters Comments(7)BBadmintonPlayerScarlettNovember 5, 2025This clear square definition really helped my students grasp the concept. The examples made area and perimeter calculations a breeze!

SSoccerPlayerKaiNovember 5, 2025This glossary def of square is great! I've used it to explain to my students. Clear and simple, makes learning properties a breeze.

TTrainerWaltNovember 4, 2025I've used this square definition with my students. It's clear and the examples really help them grasp the concepts. Great resource!

MCMs. CarterSeptember 17, 2025I used this square definition with my kids, and it made explaining the concept so much easier! The examples really helped them understand how to find the area and perimeter step by step. Great resource!

MCMs. CarterSeptember 9, 2025I used the square definition and examples from this page to help my kids with their geometry homework. The clear explanation and step-by-step area formula really made it click for them!

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