Question

Diana has available 520 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 has the area largest?

(c) What is the maximum area?

Step 1

a).

Step 2

b). The area is largest at the point where its derivative is zero.

now differentiating area with respect to w, we get

Step 3

Hence, area is largest when the...

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