document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470950>Question 470950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following application problem. Show and explain the variable equation used and each each step involved in solving the equation. \r<BR>\n" );
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document.write( "The width of a rectangle is 4 cm less than its length. If the area of the rectange is 87 cm^2, find the dimensions of the rectangle to the nearest thousandth.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323022 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323022\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following application problem. Show and explain the variable equation used and each each step involved in solving the equation. <BR>\n" );
document.write( "The width of a rectangle is 4 cm less than its length. If the area of the rectange is 87 cm^2, find the dimensions of the rectangle to the nearest thousandth. <BR>\n" );
document.write( "**<BR>\n" );
document.write( "let x=length of rectangle<BR>\n" );
document.write( "x-4 =width of rectangle<BR>\n" );
document.write( "area of rectangle=length*width=87 cm ^2<BR>\n" );
document.write( "x(x-4)=87<BR>\n" );
document.write( "x^2-4x-87=0<BR>\n" );
document.write( "solve by quadratic formula as follows:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=1, b=-4, c=-87<BR>\n" );
document.write( "x=[-(-4)ħsqrt((-4)^2-(4*1*(-87)]/2*1<BR>\n" );
document.write( "x=[4ħsqrt(16+348)]/2<BR>\n" );
document.write( "x=(4ħ&#8730;364)/2<BR>\n" );
document.write( "x=(4ħ19.079)/2<BR>\n" );
document.write( "x=11.539<BR>\n" );
document.write( "x-4=7.539<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-7.534 (reject, length>0)\r<BR>\n" );
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document.write( "ans:<BR>\n" );
document.write( "length of rectangle=11.539 cm<BR>\n" );
document.write( "width of rectangle=7.539 cm </SPAN>\n" );
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