2 years ago

Please help !!! Due instant

Mathematics

1 answer:

Vinvika [58]2 years ago

4 0

I believe the range is 25.

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A farmer has 900 feet of fence to build a pen that is up against an existing wall, so fencing is only needed on three sides. Wha

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Assuming a rectangular fenced area, let the area measure $x$ feet by $y$ feet. Then the length of fencing used is such that

$2x + y = 900 \implies y = 900 - 2x$

where $y$ is the length of the side parallel to the existing wall.

The area enclosed by the fence is

$A(x,y) = xy \implies A(x) = x(900-2x) = 900x - 2x^2$

Find the critical points of $A(x)$ .

$A'(x) = 900 - 4x = 0 \implies x = 225$

If two sides measure 225 feet, then the remaining side must measure

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square feet.

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2 years ago