Answer: the length of the rectangle is 4 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The width of the rectangle is 4 inches greater than half the length of the rectangle. This means that
W = L/2 + 4
The perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
The perimeter of the rectangle is given as 56 inches. Therefore,
2(L + W) = 56
L + W = 28 - - - - - -1
Substituting W = L/2 + 4 into equation 1, it becomes
L + L/2 + 4 = 28
4L + L + 8 = 28
4L + L = 28 - 8 = 20
5L = 20
L = 20/5 = 4
