SOLUTION: A piece of wire of length 1meter is cut into two parts and each part is bent to form a square. If the total area of the two square is 325cm^2, find the perimeter of each square.

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Question 1037978: A piece of wire of length 1meter is cut into two parts and each part is bent to form a square. If the total area of the two square is 325cm^2, find the perimeter of each square.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=1 and x and y are each separate perimeters of the two squares.

%28x%2F4%29%5E2%2B%28y%2F4%29%5E2=325, to account for the total resulting area formed.
x%5E2%2By%5E2=325%2A16
x%5E2%2By%5E2=5200


CAREFUL. The original wire is 1 METER, but the resulting two squares area is 325 SQUARE CENTIMETERS.
Change the original first equation this way to correct for this.
highlight_green%28x%2By=100%29, to account for the original uncut length in CENTIMETERS.

The rest is just arithmetic or algebra steps. Solve this system, lengths being in centimeters: system%28x%2By=100%2Cx%5E2%2By%5E2=5200%29

Say if you have trouble solving the system.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A piece of wire of length 1meter is cut into two parts and each part is bent to form a square. If the total area of the two square is 325cm^2, find the perimeter of each square
Perimeter of squares: highlight_green%28matrix%281%2C5%2C+60%2C+cm%2C+and%2C+40%2C+cm%29%29