A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. Determine the demensions that will produce a maximum enclosed area.

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- Dec 11th 2008, 08:22 PMmagentarita3 Rectangular Gardens
A gardener had 1500 feet of fencing to enclose three adjacent rectangular gardens. Determine the demensions that will produce a maximum enclosed area.

- Dec 12th 2008, 11:10 AMearboth
The area of the 3 gardens is calculated by:

......**(A)**

The fence of all 3 gardens is calculated by:

......**(B)**

Solve (B) for l. Plug in this term into equation (A):

To get the maximum area determine the first derivation of a and solve the equation for . I've got

That means the maximum area is

- Dec 12th 2008, 04:32 PMmagentaritaok...
- Dec 12th 2008, 10:18 PMearboth
- Dec 14th 2008, 07:52 AMmagentaritaok....