The area of a rectangle is the amount of surface that is enclosed between the boundaries. The rectangle is a closed figure which has four sides with two opposite sides being equal and all the sides at right angles (90°) to each other. This page will discuss the area of a rectangle in detail.

## What is an area of a rectangle?

Area of a rectangle is the amount of surface enclosed by its boundaries or the edges. Area of a rectangle is measured in square units, such as centimeters square cm^{2} or square meters m^{2} . The formula for calculating the area of a rectangle = L × w, where L= length and W= width.

From the area of a rectangle, we can calculate the length and width of the area of a rectangle.

\text{The formula for calculating length of a rectangle } \space= \frac{A}{W}.\\ \text{The formula for calculating the width (L) of a rectangle} \space \frac{A}{L}

## How to find the area of a rectangle

In calculating the area of a rectangle, we make sure all the measurement units are the same. For example if one of the units is meters (m) and the other one is in centimeters (cm), we convert it to one unit that we are comfortable with. Let’s look at some examples of the area of a rectangle.

Example 1: if the length of a rectangle is 6cm and its width is 5cm. Find the area of the rectangle.

solution

Area of a rectangle = Length × width , where length = 6cm and width = 5cm.

= 6cm × 5cm

= 30cm^{2}

Example 2: If the area of a rectangle is 24cm^{2} and the width (w) is 4. Find the length of the rectangle.

Solution

\text{From the area of a rectangle = Length × Width, the length of a rectangle}\space = \frac{A}{W}, \text{where A=Area } \space= 24cm^2 \space\text{and W = width} \\ \text{Length = ? Width = 4 and the Area = 24}cm^2, \\ \text{Length = } \space\frac{A}{W}=\frac{24}{4}=6cm^2

Example 3: If the area of a rectangle is 64cm^{2} and its length is 8cm. Find the width of the rectangle.

solution

\text{Width of a rectangle =}\space \frac{A}{L}, \text{where A=Area} =64cm^2, \text{L=Length=8cm} \\ \text{width of rectangle} = \frac{64}{8}=8cm \\ \therefore \text{width of the rectangle=} 8cm.