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March 1, 2015

March 1, 2015

Posted by **Marco** on Wednesday, September 11, 2013 at 9:14pm.

You only have 120 ft worth of brick edging and want to enclose the most are possible. Determine the dimensions (Length and Width) that will maximize the total area of the garden, and state that maximum area

- Calculus -
**Steve**, Wednesday, September 11, 2013 at 11:59pmyou will have 2 strips of length x and 3 strips of length y.

2x+3y = 120

the area a is

a = xy = x(40 - 2/3 x) = 40x - 2/3 x^2

da/dx = 40 - 4/3 x

for max area, da/dx=0, so x = 30

Thus y=20, and the edging is evenly divided between width and length.

max area is thus 600 ft^2

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