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Asked Dec 22, 2019
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David has available 480 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?
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David has available 480 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is the area largest? (c) What is the maximum area?

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Expert Answer

Step 1

Given:

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David has available 480 yards of fencing and wishes to enclose a rectangular area.

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Step 2

Calculation:

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a) To express the area A of the rectangle as a function of the width W of the rectangle: Perimeter of the rectangle P = 2(L+W) P = L+W 2 P --W..(1) Area of the rectangle A = LxW...(2)

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Step 3
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Substitute equation (1) equation (2), we get P -w \xW -W –W ...(3) The area A of the rectangle as a function of the width W of the rectangle is

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