document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272992>Question 272992</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm stuck on this question.<BR>\n" );
document.write( "A rect. has a perimeter of 68 cm, and it's area is 273 sq.cm. Find the dimensions of this rect. (For purposes of this problem only, the width is shorter than the length.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199690 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=199690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation for each statement<BR>\n" );
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document.write( "A rect. has a perimeter of 68 cm,<BR>\n" );
document.write( "2L + 2W = 68<BR>\n" );
document.write( "Simplify, divide by 2<BR>\n" );
document.write( "L + W = 34<BR>\n" );
document.write( "or<BR>\n" );
document.write( "L = (34-W); use this form for substitution<BR>\n" );
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document.write( "it's area is 273 sq.cm.<BR>\n" );
document.write( "L * W = 273<BR>\n" );
document.write( "Substitute (34-W) for L<BR>\n" );
document.write( "(34-W)*W = 273<BR>\n" );
document.write( "-W^2 + 34W = 273<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "-W^2 + 34W - 273 = 0<BR>\n" );
document.write( "multiply by -1, it's easier to factor<BR>\n" );
document.write( "W^2 - 34W + 273<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(W -  13)(W - 21) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "W = 13<BR>\n" );
document.write( "and<BR>\n" );
document.write( "W = 21<BR>\n" );
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document.write( "W = 13 is the width and L = 21 is the length<BR>\n" );
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document.write( "You can check this by finding the perimeter and area with these values.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );