A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal to 40 feet and 60 feet. If the building is situated in such away that the sides are parallel to the streets, what is the maximum floor area that the building can have?

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A: topic- application of derivatives

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A: Consider the given information.

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A: The explanation of answer as follows

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A: Given 12 edges sum is 60, let C=60So, 4x+4y+4z=CV=xyz    =xy(14C-x-y)    =14Cxy-x2y-xy2 for x>0,…

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A: Both these questions can be solved by applying the concept of maxima and minima.

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A: maximum volume

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A: The numerical is interpreted as shown in the drawing below;

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A: Maximization problem

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A: We will use Second derivative test to find the maximum and minimum area And first derivative to find…

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