Posted by **CJ** on Thursday, May 3, 2012 at 4:07pm.

Brett wants to use 40 feet of twine to mark off a rectangular area in his yard for a garden. What are the length and width for a garden with the greatest area?

- Math -
**Steve**, Thursday, May 3, 2012 at 4:27pm
or, less aggressively,

if the garden is x by y feet,

2x+2y=40

x+y=20

y=20-x

area a = xy = x(20-x)

a parabola reaches its vertex halfway between the roots. So, at x=10 we have max area.

The garden is a 10x10 square.

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