A rectangular plot is bounded on one side by a straight river and on the other sides by...

A rectangular plot is bounded on one side by a straight river and on the other sides by a fence. Suppose 900 yd of fence are available and the length of the side of the rectangle parallel to the river is denoted by x.

a. Find an expression for the area A(x) in terms of x.

b. Graph A(x).

c. Use the graph in (b) or your calculator to estimate the length and width of the rectangle for which the area will be the largest.