10.5 Exercise 84

Solve. Round answers to the nearest tenth.

A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation $A = x \left(240 - 2 x\right)$ gives the area of the corral, $A$, for the length, $x ,$ of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.