SOLUTION: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a square. Find the length of each piece if the sum of the areas of these square

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Question 1075047: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece is bent into a square. Find the length of each piece if the sum of the areas of these squares is to be 2 square inches
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=8 first part.

If x and y is each used as perimeter to make a square of each, then sum of the areas is %28x%2F4%29%5E2%2B%28y%2F4%29%5E2=2
or x%5E2%2F16%2By%5E2%2F16=2
x%5E2%2By%5E2=32



Solve the system system%28x%2By=8%2Cx%5E2%2By%5E2=32%29.

x%5E2-%288-x%29%5E2=32
2x%5E2-16x%2B64-32=0
x%5E2-8x%2B16=0
%28x-4%29%5E2=0


highlight%28y=x=4%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The length of each piece is 4 inches.

You can solve it MENTALLY.