Question

The width of a rectangle is 6 m shorter than its length. If the perimeter of the rectangle is 52 m, find its length and width.

length = 16 m, width = 22 m

length = 29 m, width = 23 m

length = 29 m, width = 35 m

length = 16 m, width = 10 m

Answer 1

Length of rectangle = 16 meters

Width of rectangle = 10 meters

Step-by-step explanation:

Let the length of the rectangle be x meters

We are given that the width of the rectangle is 6 m shorter than the length

This means that:

width of rectangle = x - 6 meters

We are given that the perimeter of the rectangle is 52 meters

Perimeter of the rectangle is calculated using the following rule:

Perimeter = 2(length + width)

Substitute with the givens in the above equation and solve for x as follows:

Perimeter = 2(length + width)

52 = 2(x + x - 6)

26 = 2x - 6

32 = 2x

x = 16

This means that:

length of rectangle = x = 16 meters

width of rectangle = x - 6 = 16-6 = 10 meters

Hope this helps :)