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)   (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 (is the easy equation)
Now we have to find the areas
side of the square is then area of the square is
in a circle where r is the radius and p = perimeter
then
so
area of the circle is
==
then the system to solve is:

=

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