Final answer:
The length of the other shorter side is 17 feet (Option E). Using the perimeter formula for a rectangle and the given information, we find that the shorter side of the rectangle is 17 feet,
Step-by-step explanation:
To solve this rectangle problem, we need to use the perimeter formula for a rectangle,
which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Let's call the shorter side of the rectangle w.
According to the problem, one side (the length) is 11 feet shorter than five times the shorter side,
which we can express as l = 5w - 11.
Given that the perimeter of the rectangle is 182 feet, we can set up the equation:
182 = 2(5w - 11) + 2w
Solving this equation will give us the width w. First, distribute the 2:
182 = 10w - 22 + 2w
Combine like terms:
182 = 12w - 22
Add 22 to both sides:
204 = 12w
Divide both sides by 12 to solve for w:
w = 17 feet.
Hence, the correct answer is 17 feet (Option E).
The complete question is:
One side of a rectangle is 11 feet shorter than five times another side. Find the length of the other shorter side if we also know that the perimeter of the rectangle is 182 feet.
a. 22 feet
b. 33 feet
c. 44 feet
d. 55 feet
e. 17 feet.