A farmer builds a fence to enclose a rectangular pasture. He uses 160 feet of fence. Find the total area of the pasture if it is 50 feet long.

The perimeter P of the rectangular pasture of sides x and y is: P=2 x +2 y=160 ftif x=50 ft then y=(160-100)/2=30 ftArea A=x*y=50*30=1500 ft^2