A farmer has 64 feet of fence to enclose a rectangular vegetable garden. which dimensions would result in the biggest area for this garden
Question
Answer:
The dimensions that would result to maximum area will be found as follows:let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
solved
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10 months ago
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