Answer:
The length of the longer side is 45 inches
Step-by-step explanation:
Let the shorter side of the rectangle = b
Let the longer side of the rectangle = l
One side of a rectangle is 11 inches shorter than four times another side.
l = 4b - 11
Perimeter of a rectangle is given as:
P = 2(l + b)
The perimeter is 118 inches
118 = 2[(4b - 11) + b]
118/2 = 4b + b - 11
59 = 5b - 11
5b = 59 + 11
5b = 70
b = 70/5
b = 14
l = 4b - 11
l = 4(14) - 11
l = 45
The length of the longer side is 45 inches