Solve the problem.
-You have 80 feet of fencing to enclose a rectangular region. What is the maximum area?
A) $6400 \mathrm { ft } ^ { 2 }$
B) $400 \mathrm { ft } ^ { 2 }$
C) $1600 \mathrm { ft } ^ { 2 }$
D) $396 \mathrm { ft } ^ { 2 }$

Question

Solve the problem.
-You have 80 feet of fencing to enclose a rectangular region. What is the maximum area? 
A) $6400 \mathrm { ft } ^ { 2 }$
B) $400 \mathrm { ft } ^ { 2 }$
C) $1600 \mathrm { ft } ^ { 2 }$
D) $396 \mathrm { ft } ^ { 2 }$

Quizplus · Accepted Answer

The maximum area enclosed by a given perimeter is achieved with a square. The perimeter of a square is $4s$, where $s$ is the side length. Given a perimeter of 80 feet, each side is $80 \div 4 = 20$ feet. The area is $20^2 = 400 \, \mathrm{ft}^2$.

Solve the Problem 6400ft26400 \mathrm { ft } ^ { 2 }6400ft2

Solve the Problem $6400 \mathrm { ft } ^ { 2 }$