Posted by **Help now fast due tommorow!!!!!!!!!!!!!!!!!!!!!!!!** on Monday, March 29, 2010 at 6:36pm.

a farmer has available 1032 feet of fencing and wishes to enclose a rectangular area. If x represents the width of the rectangle for what value of x is the area the largest

A) 256.5 feet b) 258 feet

c) 256 feet d) 257 feet

please show work!

i need help fast

- Precalculus -
**MathMate**, Monday, March 29, 2010 at 6:47pm
Let L=total length of fencing.

x=width

(L/2-x)=length

A(x)=Area=x(L/2-x)

Differentiate A with respect to x, and equate A'(x) to zero and solve for x=x0 which gives the maximum or minimum area.

Differentiate A'(x) again to get A"(x).

Confirm that A"(x0) is negative for a maximum (and positive for a minimum).

You should find that x0=width=length.

Post your answer for a check if you wish.

- Precalculus -
**Help now fast due tommorow!!!!!!!!!!!!!!!!!!!!!!!!**, Monday, March 29, 2010 at 9:50pm
is it 258

- Precalculus -
**MathMate**, Tuesday, March 30, 2010 at 9:39pm
Yes, that's correct.

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