The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle?

Solution:

Let us consider x as the width

So the length is 3 + x

We know that perimeter:

P = 2l + 2w

2x + 2(3 + x) = 24

By further calculation

2x + 6 + 2x = 24

4x = 24 - 6

4x = 18

Divide both sides by 4

x = 18/4

x = 4.5

Width x = 4.5 cm

Length = 3 + x = 3 + 4.5 = 7.5 cm

Therefore, the dimensions of the rectangle are (7.5 × 4.5) cm.

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The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. Find the dimensions of the rectangle?

Summary:

The length of a rectangle is 3 cm greater than its width. The perimeter is 24 cm. The dimensions of the rectangle are (7.5 × 4.5) cm.