document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549121>Question 549121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A SQUARE AND A RECTANGLE HAVE THE SAME AREA. THE LENGTH OF THE RECTANGLE IS 8 MORE THAN A SIDE OF THE SQUARE, AND THE WIDTH OF THE RECTANGLEIS 4 LESS THAN A SIDE OF THE SQUARE. FIND A SIDE OF THE SQUARE.\r<BR>\n" );
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document.write( "NOTE: THIS IS A QUADRATIC EQUATION. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #357766 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=357766\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A SQUARE AND A RECTANGLE HAVE THE SAME AREA. <BR>\n" );
document.write( "THE LENGTH OF THE RECTANGLE IS 8 MORE THAN A SIDE OF THE SQUARE, AND THE WIDTH OF THE RECTANGLEIS 4 LESS THAN A SIDE OF THE SQUARE.<BR>\n" );
document.write( " FIND A SIDE OF THE SQUARE.<BR>\n" );
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document.write( "Let x = the side of the square<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x^2 = the area of the square<BR>\n" );
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document.write( "(x+8) = the length of the rectangle<BR>\n" );
document.write( "(x-4) = the width of the rectangle<BR>\n" );
document.write( "then FOIL<BR>\n" );
document.write( "(x+8)(x-4) = x^2 - 4x + 8x - 32<BR>\n" );
document.write( "x^2 + 4x - 32 = the area of the rectangle<BR>\n" );
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document.write( "Given the areas areas are equal<BR>\n" );
document.write( "x^2 + 4x - 32 = x^2<BR>\n" );
document.write( "Combine the x^2's on the left<BR>\n" );
document.write( "x^2 - x^2 + 4x - 32 = 0<BR>\n" );
document.write( "4x = 32<BR>\n" );
document.write( "x = 32/4<BR>\n" );
document.write( "x = 8 units is the side of the square<BR>\n" );
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document.write( "See if this is right<BR>\n" );
document.write( "(8+8) * (8-4) = 8^2<BR>\n" );
document.write( "16 * 4 = 64; confirms our solution of x=8<BR>\n" );
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