Answer:
The width is 18 feet and the length is 42 feet
Step-by-step explanation:
Let x feet be the width of the patio. The length of the patio is 6 feet longer than twice it’s width, then the length of the patio is 2x+6 feet.
Wayne is hanging a string of lights 78 feet long around the three sides of his patio, which is adjacent to his house. The side with length 2x+6 feet is adjacent to the house, so Wayne is hanging a string along three sides with lengths x ft, x ft and 2x+6 ft.
x+x+2x+6=78
4x=78-6
4x=72
divide both sides by 4
x=18 ft
The width 18 ft
2*18+6=36+6=42 ft
The length 42 ft
