document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126554>Question 1126554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a warehouse is 23 ft more than its width. Find the width and length of the warehouse if its area is 6840 ft^2\r<BR>\n" );
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document.write( "How do you find length and width of a rectangle when given the area?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #742867 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=742867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of a rectangle is length * width.\r<BR>\n" );
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document.write( "let L = length and let W = width.\r<BR>\n" );
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document.write( "area of a rectangle becomes L * W.\r<BR>\n" );
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document.write( "if the length is 23 feet more than the width, then L = W + 23.\r<BR>\n" );
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document.write( "replace L with W + 23 in the formula and you get area of a rectangle = (W + 23) * W.\r<BR>\n" );
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document.write( "simplify to get area of the rectangle = 23W + W^2\r<BR>\n" );
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document.write( "since the area is 6840, then the formula becomes 6840 = 23W + W^2\r<BR>\n" );
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document.write( "subtract 6840 from both sides of the equation and re-order the terms in descending order of degree and flip sides to get:\r<BR>\n" );
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document.write( "W^2 + 23W - 6840 = 0\r<BR>\n" );
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document.write( "factor this quadratic equation to get:\r<BR>\n" );
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document.write( "(W+95) * (W-72) = 0\r<BR>\n" );
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document.write( "solve for W to get W = -95 or W = 72.\r<BR>\n" );
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document.write( "W can't be negative, so W = 72.\r<BR>\n" );
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document.write( "since L = W + 23, then L = 95\r<BR>\n" );
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document.write( "length is 95 and width is 72\r<BR>\n" );
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document.write( "area is length * width = 95 * 72 = 6840.\r<BR>\n" );
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document.write( "length is 23 greater than width.\r<BR>\n" );
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document.write( "solution looks good.\r<BR>\n" );
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document.write( "solution is length = 95 and width = 72.\r<BR>\n" );
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document.write( "even though the quadratic was factor-able, if it wasn't obvious what the factors needed to be, then use the quadratic formula to find the answer.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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