a rectangle is 5 times as long as it is wide, and the perimeter is 132 feet. Find its area.

Question

a rectangle is 5 times as long as it is wide, and the perimeter is 132 feet. Find its area

 

Answer 1

Let w = the width

Let 5w = the length

Using the formula for perimeter, P = 2l + 2w

132 = 2(5w) + 2w

132 = 10w + 2w

132 = 12w          divide both sides by 12

w = 11 feet

l = 5w = 5(11)

l = 55 feet