document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004450>Question 1004450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 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.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620946 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=620946\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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. \r<BR>\n" );
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document.write( "the length of a side of the smaller square.   let it be x\r<BR>\n" );
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document.write( "Area = x^2\r<BR>\n" );
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document.write( "The length of a side of the larger square is 3 centimeters more than .(x+3)<BR>\n" );
document.write( "area = (x+3)^2\r<BR>\n" );
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document.write( "The sum of the areas of two squares is 89 square centimeters. \r<BR>\n" );
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document.write( "x^2+(x+3)^2=89\r<BR>\n" );
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document.write( "x^2+x^2+6x+9 = 89\r<BR>\n" );
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document.write( "2x^2+6x-80=0\r<BR>\n" );
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document.write( "/2<BR>\n" );
document.write( "x^2+3x-40=0\r<BR>\n" );
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document.write( "x^2+8x-5x-40=0\r<BR>\n" );
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document.write( "x(x+8)-5(x+8)=0<BR>\n" );
document.write( "(x+8)(x-5)=0<BR>\n" );
document.write( "x=-8 OR x= 5<BR>\n" );
document.write( "Ignore negative<BR>\n" );
document.write( "dimensions of the squares are\r<BR>\n" );
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document.write( "5 by 5 cm and 8 by 8 cm<BR>\n" );
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