Solve the problem.
-A farmer has $800 \mathrm{~m}$ of fencing. Find the dimensions of the rectangular field of maximum area that can be enclosed by this amount of fencing.
A) $80 \mathrm{~m}$ by $320 \mathrm{~m}$
B) $200 \mathrm{~m}$ by $600 \mathrm{~m}$
C) $190 \mathrm{~m}$ by $210 \mathrm{~m}$
D) $200 \mathrm{~m}$ by $200 \mathrm{~m}$

Question

Quizplus · Accepted Answer

The maximum area for a given perimeter is achieved when the rectangle is a square. With 800 m of fencing, each side of the square would be 200 m.

Solve the Problem 800 m800 \mathrm{~m}800 m Of Fencing 80 m80 \mathrm{~m}80 m By 320 m320 \mathrm{~m}320 m B) 200 m200 \mathrm{~m}200 m

Solve the Problem $800 \mathrm{~m}$ Of Fencing $80 \mathrm{~m}$ By $320 \mathrm{~m}$ B) $200 \mathrm{~m}$