Question

120 meters of fence are available to build a rectangular pen that is also divided in half by a fence. Let the width of this pen be x. Express the total area of the pen in terms of x and find the value of x for the greatest total area.

Answer 1

10 meters by 12 meters.

10 x 12 = 120

cut it in half 10 meters by 6 meters or 5 meters by 12 meters

both equaling out to 60 square meters after being cut in half.