document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109613>Question 109613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A square and a rectangle have the same area. The length of the rectangle is 8 in. more than a side of the square, and the width of the rectangle is 4 in. less than a side of the square. Find the length of a side of the square. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79948 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=79948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A square and a rectangle have the same area. The length of the rectangle is 8 in. more than a side of the square, and the width of the rectangle is 4 in. less than a side of the square. Find the length of a side of the square.<BR>\n" );
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document.write( "Let x = side of the square<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x^2 = area of the square<BR>\n" );
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document.write( "The rectangle:<BR>\n" );
document.write( "It says,\"The length of the rectangle is 8 in. more than a side of the square,:<BR>\n" );
document.write( "L = (x+8)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "It says,\"the width of the rectangle is 4 in. less than a side of the square.\"<BR>\n" );
document.write( "W = (x-4)<BR>\n" );
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document.write( "(x+8)(x-4) = area of the rectangle<BR>\n" );
document.write( "(x^2 + 4x - 32) = area of the rectangles also(FOILed the demensions)<BR>\n" );
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document.write( "It said the area of the rectangle = area of the square; therefore<BR>\n" );
document.write( "x^2 + 4x - 32 = x^2<BR>\n" );
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document.write( "x^2 - x^2 + 4x = 32<BR>\n" );
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document.write( "4x = 32<BR>\n" );
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document.write( "x = 8 in is the side of the square<BR>\n" );
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document.write( "Check our solution, find out if the square and the rectangle have the same area<BR>\n" );
document.write( "(8+8)*8-4) =<BR>\n" );
document.write( "16 * 4 = 64<BR>\n" );
document.write( "and<BR>\n" );
document.write( "8 * 8 = 64<BR>\n" );
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document.write( "Did this make sense to you, any questions?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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