A rectangle patio has a perimeter of 54 feet. If the length of the patio is 3 feet less than twice the width, find the dimensions of the patio

Question

A rectangle patio has a perimeter of 54 feet. If the length of the patio is 3 feet less than twice the width, find the dimensions of the patio

Answer 1

Let w = the width

Let 2w - 3 = the length

P = 2l + 2w

54 = 2(2w - 3) + 2w

54 = 4w - 6 + 2w

54 = 6w - 6

60 = 6w

10 feet = w

length = 2w - 3 = 2(10) - 3 = 20 - 3 = 17 feet