Answer: the length of the rectangle is 37ft
the width of the rectangle is 6 ft
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the given rectangle is 86 feet. This means that
2(L + W) = 86
Dividing through by 2, it becomes
L + W = 43 - - - - - - - - - - - -1
Its length is 7 more than five times its width.. This means that
L = 5W + 7
Substituting L = 5W + 7 into equation 1, it becomes
5W + 7 + W = 43
6W + 7 = 43
6W = 43 - 7
6W = 36
W = 36/6
W = 6
L = 5W + 7 = 5 × 6 + 7
L = 37
