Width of the patio is = ? feet, Length of the patio is = ? feet

Question

Wayne is hanging a string of lights 54 feet long around the three sides of his rectangular patio, which is adjacent to his house. The length of his patio, the side along the house, is 6 feet longer than twice its width. Find the length and width of the patio.

Answer 1

L = 6 + 2W

L + 2W = 54

6+2W + 2W = 54

4W = 54-6 = 48

W = 48/4 = 12 feet wide

L = 6+2(12) = 30 feet long

30+12+12 = 54