document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #584186 by lwsshak3(11628)\"\" \"About 
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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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\n" ); document.write( "let x=length of smaller square
\n" ); document.write( "x+3=length of larger square
\n" ); document.write( "x^2+(x+3)^2=89
\n" ); document.write( "x^2+x^2+6x+9=89
\n" ); document.write( "2x^2+6x-80=0
\n" ); document.write( "x^2+3x-40=0
\n" ); document.write( "(x+8)(x-5)=0
\n" ); document.write( "x=5
\n" ); document.write( "x+3=8
\n" ); document.write( "length of smaller square=5 cm
\n" ); document.write( "length of larger square=8 cm
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