Question

The length of a rectangle is 6 meters more than twice the width. The perimeter is 72 square meters. What is the width of the rectangle?

A. 22
B. 12
C. 10
D. 13

Answer 1

Answer: The width of the rectangle is 10 meters

Explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle

The length of a rectangle is 6 meters more than twice the width. This is expressed as

L = 2W + 6

The perimeter of the rectangle is expressed as 2(L + W). The perimeter of the rectangle is given as 72 meters. It is expressed as

2(L + W) = 72

L+ W = 72/2 = 36

L + W = 36 - - - - - - - - 1

Substituting L = 2W + 6 into equation 1, it becomes

2W + 6 + W = 36

2W + W = 36 - 6 = 30

3W = 30

W = 30/3 = 10 meters