SOLUTION: The area of a rectangular enclosure is given by the function A(w)=-2w^2 + 48w, where A(w) is the area in square meters and w is the width of the rectangle in meters. a) What val

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Question 1110552: The area of a rectangular enclosure is given by the function A(w)=-2w^2 + 48w, where A(w) is the area in square meters and w is the width of the rectangle in meters.
a) What values of w given an area of 0?
b) what is the maximum area of the enclosure?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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a) What values of w given an area of 0?
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If area were 0 then this would not be any rectangle.

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b) what is the maximum area of the enclosure?
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Look for the value w in the middle of the two roots.
-2w%5E2%2B48w=0
w%5E2-24w=0
w%28w-24%29=0
roots or "zeros" are 0 and 24.
The exact middle of these is w=12.
Find A%2812%29.