Save

Two triangular pens are built against a barn. Four hundred twenty meters of fencing are to be used for the three sides and the diagonal dividing fence $($see figure$).$ What dimensions maximize the area of the pen?

The area of the pen is maximized if the side perpendicular to the barn is about $()$ meters long and the side parallel to the barn is about $($Round to two decimal places as needed.$)()$ meters long.