SOLUTION: A wire 350 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pi

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Question 156531: A wire 350 in. long is cut into two pieces. One piece is formed into a square and the other into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?
I am completely lost, have no idea where to start.
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y the length of the two pieces (x the length of the square and y the length of the circle)
then x%2By=350 (is the easy equation)
Now we have to find the areas
side of the square is x%2F4 then area of the square is x%5E2%2F16
in a circle 2r%28pi%29=p where r is the radius and p = perimeter
then r=p%2F%282%28pi%29%29
so r=y%2F%282%28pi%29%29
area of the circle is
r%5E2%28pi%29=%28y%5E2%2F%284%28pi%29%5E2%29%29%28pi%29=y%5E2%2F%284%28pi%29%29
then the system to solve is:
x%2By=350
x%5E2%2F16=y%5E2%2F%284%28pi%29%29