Three sides of a fence and a wall form a rectangular enclosure. The total length of a fence used for the three sides is 240 feet. Let x be the length of the two sides perpendicular to the wall as shown.

Write the area A of the enclosure as a function of the length x . Then find the value(s) of x for which the area is 5500 ft² .

Question

Three sides of a fence and a wall form a rectangular enclosure. The total length of a fence used for the three sides is 240 feet. Let x be the length of the two sides perpendicular to the wall as shown.

Write the area A of the enclosure as a function of the length x . Then find the value(s) of x for which the area is 5500 ft² .

Quizplus · Accepted Answer

The Answer is

A(x)=240 x-2 x^{2} ; x \approx 30.85 ext { or } x \approx 89.15

Three Sides of a Fence and a Wall Form a Rectangular