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26 October, 23:45

A rectangular lot is bounded on one side by a river and on the other three sides by a total of 80m of fencing. Find the dimensions of the lot with the largest possible area

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  1. 27 October, 00:15
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    Hello,

    Let 's a the width,

    b the heigth

    2a+b=80==>b=80-2a

    Area=A (a, b) = a*b=a * (80-2a)

    =-2a²+80a

    =-2 (a²-2*20a+20²-20²)

    =-2 (a-20) ² + 800

    Area is maxi if a=20 and area max=800
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