SOLUTION: a wire is 12 ft long is cut into two pieces. one piece is to be bent into a square and the other into a circle?how should the wire be cut so that the combined area is as small or l

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Question 1082332: a wire is 12 ft long is cut into two pieces. one piece is to be bent into a square and the other into a circle?how should the wire be cut so that the combined area is as small or large as possible?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Here is a start.

Pieces are lengths x and y.
x%2By=12

Take the x length and make into a square.
Each side becomes x%2F4 and area for this is %281%2F16%29x%5E2.


Take the y length to make the circle. Let r be radius.
y=2pi%2Ar
and area is pi%2Ar%5E2
pi%28y%2F%282pi%29%29%5E2
%281%2F%284pi%29%29y%5E2

%281%2F%284pi%29%29%2812-x%29%5E2


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The sum of the areas is highlight_green%28%281%2F16%29x%5E2%2B%281%2F%284pi%29%29%2812-x%29%5E2%29; now can you continue and then finish?