Question

Wayne is hanging a string of lights 58 feet long around the three sides of his 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

Answer:

The length of the patio is 32 ft and the width is 13 ft

Step-by-step explanation:

see the attached figure to better understand the problem

Let

L ----> the length of his patio

W ---> the width of his patio

we know that

$L+2W=58$ ----> equation A

$L=2W+6$ ----> equation B

substitute equation B in equation A and solve for W

$2W+6+2W=58$

$4W+6=58$

$4W=58-6$

$4W=52$

$W=13\ ft$

Find the value of L

$L=2W+6$  ----> $L=2(13)+6=32\ ft$

therefore

The length of the patio is 32 ft and the width is 13 ft