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?
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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