Posted by **Mary** on Friday, December 3, 2010 at 3:44pm.

Kira has feet of fencing. She will use it to form three sides of a rectangular garden. The fourth side will be along a house and will not need fencing. For the area of the garden to be the maximum, how long should the side opposite the house be?

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**PsyDAG**, Friday, December 3, 2010 at 4:04pm
You failed to indicate how many feet of fencing Kira has.

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**Reiny**, Friday, December 3, 2010 at 5:02pm
let the perimeter be P, where P is a constant

let the length be y and the width be x

2x + y = P

y = P - 2x

Area = xy

= x(P-2x) - Px - 2x^2

d(area)/dx = P - 4x

= 0 for a maximum area

4x = P

x = P/4

y = P - P/2 = P/2

So the long side should be half the perimeter, and the short side whould be a quarter of the perimeter.

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**fatou**, Friday, December 3, 2010 at 8:19pm
i need help with my math homework

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**Anonymous**, Saturday, April 16, 2011 at 11:21am
if the perimeter of a rectangle is 184cm and the width is 39cm calculate its length

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