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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Mathematics

Castillo

6 March, 18:17

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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Johnathan · Answer 1

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