Solve the problem.
-You have 184 feet of fencing to enclose a rectangular region. What is the maximum area?
A) 2116 square feet
B) 8464 square feet
C) 33,856 square feet
D) 2112 square feet

Question

Quizplus · Accepted Answer

The maximum area that can be enclosed by a given perimeter is achieved with a square shape. The perimeter of a square is given by $4s$, where $s$ is the side length. Given a perimeter of 184 feet, each side of the square would be $184 \div 4 = 46$ feet. The area of a square is given by $s^2$, so the maximum area that can be enclosed is $46^2 = 2116$ square feet.

Solve the Problem. -You Have 184 Feet of Fencing to Enclose a Rectangular