(Solved): You are designing part of an office. You are to design three cubicles next together, where the cub ...

You are designing part of an office. You are to design three cubicles next together, where the cubicles are rectangular with three walls. As shown in the diagram, one wall will separate each of the three cubicles, one wall will be on either end, and one wall will make up the back of the cubicle. The other side will be open. (So in the diagram, each black line represents cubicle wall). X If you have 280 feet of cubicle wall, how long should you make the interior walls (the one labeled x in the diagram) in order to maximize the total area of the cubicles? The interior walls should each be feet long. If necessary, round to two decimal places.