SOLUTION: I have two squares. The length of the larger square is 3 cm longer than that of the smaller square. The combined area of the two squares is 89 cm squared. What are the lengths of

Question 956209: I have two squares. The length of the larger square is 3 cm longer than that of the smaller square. The combined area of the two squares is 89 cm squared. What are the lengths of the sides of each square?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I have two squares. The length of the larger square is 3 cm longer than that of the smaller square. The combined area of the two squares is 89 cm squared. What are the lengths of the sides of each square?
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let x=length of smaller square
x+3=length of larger square
x^2+(x+3)^2=89
x^2+x^2+6x+9=89
2x^2+6x-80=0
x^2+3x-40=0
(x+8)(x-5)=0
x=5
x+3=8
length of smaller square=5 cm
length of larger square=8 cm
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