A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. Find the dimensions of the fence to maximize the area enclosed by the fence.

Answer: w - 600ft, L-1200ft

Step-by-step explanation:

Area = width*length

A (x) = x (2400-2x)

A (x) = 2400x - 2x^2

You have a quadratic with a = - 2 and b = 2400

Maximum Area occurs where x = - b/2a = - 2400 / (2*-2) = 600 ft. (width)

length = 2400-2x = 2400-2*600 = 1200 (length)