A man has 155 feet of fencing to enclose a pasture. Because a river runs along one side, fencing will be needed on only three sides. Find the width of the pasture if its length is parallel to the river and 5 feet less than twice the width.
A) 40 feet
B) $50 \frac { 1 } { 3 }$ feet
C) 51 feet
D) 41.5 feet

Question

Quizplus · Accepted Answer

The total length of fencing needed is for two widths and one length. Let the width be $w$ feet. The length is $2w - 5$ feet. The total fencing is $2w + (2w - 5) = 155$. Solving for $w$, we get $4w = 160$, so $w = 40$ feet.

A Man Has 155 Feet of Fencing to Enclose a Pasture