SOLUTION: The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find

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Question 1004432: The sum of the areas of two squares is 89 square centimeters. The length of a side of the larger square is 3 centimeters more than the length of a side of the smaller square. Find the dimensions of each square.
Answer by Boreal(15235) About Me  (Show Source):
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smaller square has side x, area x^2
larger has side (x+3), area x^2+6x+9
the two add to 89 cm^2
2x^2+6x+9=89
2x^2+6x-80=-
x^2+3x-40=0, factoring out a 2
(x+8)(x-5)=0
x=5, only sensible root
small square is 5 x 5 cm or 25 cm^2
larger square is 8 x 8 cm or 64 cm^2