A dog park wants to enclose a rectangular plot of land that borders a lake and hence only requires fencing on three sides. If 160 yards of fence is available, determine the length and width of the fenced plot that will maximize the area.

The surface area of a cube varies directly as the square of the length of an edge. If the surface area of a cube that has edges 8 inches long is 384 square inches, find the square area of a cube that has edges 10 inches long.

A 5-inch by 7-inch picture is surrounded by a frame of uniform width. The area of the picture and frame together is 80squareinches. Find the width of the frame.

In a softball game, a batter hits a ball to dead center field, a distance of 240 feet from home plate. The center fielder then throws the ball to third base and gets a runner out. The distance between the bases is 60 feet. How far is the center fielder from third base?