Solve the problem
-A farmer has 400 feet of fence with which to fence a rectangular plot of land. The plot lies along a river so that only three sides need to be fenced. Estimate the largest area that can be fenced.
A) $16,000 \mathrm { ft } ^ { 2 }$
B) $20,000 \mathrm { ft } ^ { 2 }$
C) $30,000 \mathrm { ft } ^ { 2 }$
D) $24,000 \mathrm { ft } ^ { 2 }$

Question

Quizplus · Accepted Answer

The largest area that can be fenced is obtained when the plot is a rectangle with the length twice the width. Let the width be $w$ and the length be $2w$. The total length of the fence used for the two widths and one length is $400 = 2w + 2w$, so $400 = 4w$, giving $w = 100$ feet. The length is $2w = 200$ feet. Therefore, the area is $w \times 2w = 100 \times 200 = 20,000 \mathrm { ft } ^ { 2 }$.

Solve the Problem -A Farmer Has 400 Feet of Fence 16,000ft216,000 \mathrm { ft } ^ { 2 }16,000ft2

Solve the Problem
-A Farmer Has 400 Feet of Fence $16,000 \mathrm { ft } ^ { 2 }$