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Equations from Word Problems: Maximizing Area of 3 Pens

If a farmer has 1000 yards of fencing to make 3 equal rectangular pens adjacent to the barn. Use the barn itself to form one of the sides that will not need fencing. If the 3 pens are the same size and share a common side, then what is the area of side x and what are the dimensions of x & y that maximize the entire enclosure? What is the maximum area of the entire enclosure?

Solution Summary

The area of three pens with commo sides is maximized.