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?

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

math  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(P2x)  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.

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

math  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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