Question

One side of a rectangle is 11 feet shorter than five times another side. The perimeter is 182 feet. What is the length of the shorter side?

A. x
B. 5x−11
C. 5x+11
D. 11−5x

Answer 1

The length of the shorter side of the rectangle is 17 feet.

Step-by-step explanation:

Let's assume that the shorter side of the rectangle is represented by x feet. According to the problem, the longer side is 11 feet shorter than five times the shorter side, so it can be represented as 5x - 11 feet.

The formula for the perimeter of a rectangle is 2(length + width). Since the length is 5x - 11 feet and the width is x feet, we can write the equation:

2((5x -11) + x) = 182

Simplifying the equation, we get:

12x - 22 = 182

12x = 204

x = 17

Therefore, the length of the shorter side is 17 feet, which corresponds to option A.