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Area of a Rectangle Formula

Last Updated on Oct 08, 2024

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Understanding the Formula for the Area of a Rectangle

A rectangle is a four-sided shape where the two longer sides are of equal length and parallel to each other. It can also be defined as an equiangular quadrilateral, meaning all its angles are equal (360°/4 = 90°). Another definition is a parallelogram with equal and parallel opposite sides. If all four sides of a rectangle are equal, it is called a square. The area of a rectangle is calculated by multiplying its width by its height. The formula for the area of a rectangle is as follows:

The Formula for the Area of a Rectangle is, A = l

Where,

l = Length
b = Breadth

Examples
Example 1: What is the area of a rectangle with a length of 10 cm and a width of 5 cm?
Solution:
Given,
Length = 10 cm
Width = 5 cm
Area of a rectangle
= Length
Width
= 10
5 cm ²
= 50 cm ²

Example 2: If the area of a rectangle is 200 cm ² and its length is 20 cm, what is its width?

Solution:
Given,
Length = 20 cm
Area = 200 cm ²
We know that,
Area of rectangle = Length x Width
200 = 20 x Width
Width = 200/20
= 10 cm

Frequently Asked Questions

What is the formula for the area of a rectangle?

The formula for the area of a rectangle is A = length x breadth.

How to calculate the area of a rectangle with length 15 cm and width 4 cm?

The area of a rectangle can be calculated by multiplying the length and the width. So, 15 cm x 4 cm = 60 cm^2.

If the area of a rectangle is 351 cm^2 and the length is 27 cm, how to find its width?

The width of the rectangle can be found by dividing the area by the length. So, 351 cm^2 / 27 cm = 13 cm.

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