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.
Accepted Solution
A:
Answer:The length of the patio is 32 ft and the width is 13 ftStep-by-step explanation:see the attached figure to better understand the problemLetL ----> the length of his patioW ---> the width of his patiowe know that[tex]L+2W=58[/tex] ----> equation A[tex]L=2W+6[/tex] ----> equation Bsubstitute equation B in equation A and solve for W[tex]2W+6+2W=58[/tex] [tex]4W+6=58[/tex] [tex]4W=58-6[/tex] [tex]4W=52[/tex] [tex]W=13\ ft[/tex] Find the value of L[tex]L=2W+6[/tex] ----> [tex]L=2(13)+6=32\ ft[/tex] thereforeThe length of the patio is 32 ft and the width is 13 ft