Farmer and the dell

Algebra Level pending

Farmer Johnson has some left over fencing after the harvest this fall. He has a nice neighbor who has already built a fence along the boundary of their two properties. Therefore farmer Johnson thinks he should utilize the common fence so he can maximize the area of the enclosure. If farmer Johnson only uses rectangles for pens and he has 400 ft of fencing left over. What is the width of the pen be?

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