Greg wants to build a rectangular enclosure for his animals. One side of the pen will...

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Greg wants to build a rectangular enclosure for his animals. Oneside of the pen will be against the barn, so he needs no fence onthat side. The other three sides will be enclosed with wirefencing. If Greg has 650 feet of fencing, you can find thedimensions that maximize the area of the enclosure.

a) Let WW be the width of the enclosure (perpendicular to the barn)and let LL be the length of the enclosure (parallel to the barn).Write an function for the area AA of the enclosure in terms of WW.(HINT first write two equations with WW and LL and AA. Solve for LLin one equation and substitute for LL in the other).

A(W)=A(W)=Â Â Â Â
b) What width WW would maximize the area?
ww =Â Â ft
Round to nearest half foot c) What is the maximum area?
AA =Â Â square feet
Round to nearest half foot
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Answer & Explanation Solved by verified expert

3.6 Ratings (464 Votes)

Maximum area is always a square Hence side of square 65041625 feet One side is not needed so add that length to the nonparallel side 16251625325 feet is the length and 1625 feet is the widths See Answer

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