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A rectangular pen is made with 100 m of fencing in three sides. The fourth is a stone wall. Find the greatest possible area of such an enclosure.

A rectangular pen is made with 100 m of fencing in three sides. The fourth is a stone wall. Find the greatest possible area of such an enclosure.
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A rectangular pen is made with 100 m of fencing in three sides. The fourth is a stone wall. Find the greatest possible area of such an enclosure.

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User Eusthace
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1 Answer

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Subsititue the values inthe area formula which is
A= L (100-2L) = 100L-2L^2

after that you'll need to maximize this quadratic. Maximus and minimus of quadratics occur at the vertex. FInd the vertex and the y-coordinate is the maximum area
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User Tomasbedrich
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