Question

Wayne is hanging a string of lights 89 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 5 feet longer than twice its width. Find the length and width of the patio.

Answer 1

Case: Rectangles

Method:

The sum is:

w + w + 2w + 5 = 89

4w + 5 = 89

4w = 89 - 5

4w = 84

w = 84/ 4

w= 21 feet

The length, l

l = 2w + 5

l = 2( 21) + 5

l = 42 + 5

l = 47 feet

Final answer:

length of the patio, l = 47 feet

width of the patio, w= 21 feet