Answer: the length of the rectangle is 16 ft and the width is 11 ft.
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of a rectangle is 6 cm longer than its width. This means that
L = W + 5
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter of the rectangle is 64 cm, it means that
2(L + W) = 54
Dividing both sides by 2,
L + W = 27 - - - - - - - - - - - - - 1
Substituting L = W + 6 into equation 1, it becomes
W + 5 + W = 27
2W = 27 - 5 = 22
W = 22/2 = 11
L = W + 5 = 11 + 5
L = 16
