Draw a figure!
L + 3W = 400 => L = 400 - 3W
Area = LW =400W - 3W2
For maximum: 400-6W=0 and W = 66 2/3
3W=200
L=100
Tim M.
asked 10/23/19A farmer wants to build two rectangular pens of equal size off the side of a barn and he has 400 feet of fence to do so. To help increase the pens area, the farmer requires that they share a side and each rely on the barn for one of their other sides. What is the maximum area he can fence in this manner?
Draw a figure!
L + 3W = 400 => L = 400 - 3W
Area = LW =400W - 3W2
For maximum: 400-6W=0 and W = 66 2/3
3W=200
L=100
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