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

Question 536603: A piece of wire is 8 inches long. The wire is cut into two pieces and then each piece if 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.
square 1: x/4 by x/4
square 2: 8-x/4 by 8-x/4
Answer by fcabanski(1391) (Show Source): You can put this solution on YOUR website!
The combined area is the sum of the areas.

for each one.

Square 1:

Square 2:

Combined Area: =

(Added the fractions on the left, then multiplied both sides by 16.)

Subtract 32 from each side.

Factor with reverse FOIL. You may recognize the factors just by looking it.

Add 4 to both sides. .

The first piece is x and the second piece is 8-x.

X=4 so both pieces are 4 inches.

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