Area between two rectangles

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Introduction

In this lesson, we solve problems involving areas between two rectangles.

A rectangle is given and inside it a smaller rectangle is drawn and then the area between these rectangles is found as follows. Consider the following figure. There is a rectangle L W. Inside it there is another rectangle l w. The area between these rectangles is shaded. We find the area of this shaded region.

Formula for finding area between rectangles

Area between rectangles

= Area of bigger rectangle Area of smaller rectangle

= L × W l × w

Where the length and width of bigger rectangle are L and W and

Length and width of the smaller rectangle are l and w.

Example 1

Find the area between the following pair of rectangles.

Solution

Step 1:

Area of a rectangle = l × w; l = length; w = width

Step 2:

Area between the given pair of rectangles = 25 × 10 18 × 8

= 250 144

= 106 square m

Example 2

Find the area between the following pair of rectangles.

Solution

Step 1:

Area of a rectangle = l × w; l = length; w = width

Step 2:

Area between the given pair of rectangles = 27 × 20 16 5

= 540 80

= 460 square m