document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172882>Question 172882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You want to enclose a rectangular lot with fencing. One side of the lot runs along the highway. The fencing along the highway costs $10 per foot and the rest of the fencing costs $7 a foot. The total money available for fencing is $6,000. The cost equation for the fencing is 7(2W+L)+10L = 6000, where L is the length of the lot and W is the width of the lot. The area of the lot, A, is given by the formula A=LW.\r<BR>\n" );
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document.write( "Can you step me through the following:\r<BR>\n" );
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document.write( "1. By writing the width as a function of the length, find the width of the lot, if its length is 100 feet (Width =     ).\r<BR>\n" );
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document.write( "2. Write the area of the lot as a function of the length (A(L) =            ).\r<BR>\n" );
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document.write( "3. What will be the area of the lot if the length is 100 feet (Area =           )?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127904 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=127904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want to enclose a rectangular lot with fencing. One side of the lot runs along the highway. The fencing along the highway costs $10 per foot and the rest of the fencing costs $7 a foot. The total money available for fencing is $6,000. The cost equation for the fencing is 7(2W+L)+10L = 6000, where L is the length of the lot and W is the width of the lot. The area of the lot, A, is given by the formula A=LW.<BR>\n" );
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document.write( "Can you step me through the following:<BR>\n" );
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document.write( "1. By writing the width as a function of the length, find the width of the lot, if its length is 100 feet (Width = ).<BR>\n" );
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document.write( "Take the original equation, rearrange to find W:<BR>\n" );
document.write( "7(2W+L)+10L = 6000,<BR>\n" );
document.write( "14W + 7L + 10L = 6000<BR>\n" );
document.write( "14W + 17L = 6000<BR>\n" );
document.write( "14W = 6000 - 17L<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17L%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17L%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "L = 100'<BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17%28100%29%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17%28100%29%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-1700%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-1700%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4300%2F14 ALIGN=MIDDLE  ALT=\"4300%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = 307.14'<BR>\n" );
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document.write( "2. Write the area of the lot as a function of the length (A(L) = ).<BR>\n" );
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document.write( "from the above we have W as the function L;<BR>\n" );
document.write( "Substitute, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17L%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17L%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" > for W in the A=L*W<BR>\n" );
document.write( "A = L*(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17L%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17L%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
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document.write( "3. What will be the area of the lot if the length is 100 feet (Area = )?<BR>\n" );
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document.write( "Substitute 100 for L in the above equation:<BR>\n" );
document.write( "A = L*(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17L%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17L%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "A = 100*(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-17%28100%29%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-17%28100%29%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "A = 10*(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%286000-1700%29%29%2F14 ALIGN=MIDDLE  ALT=\"%28%286000-1700%29%29%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "A = 100 * 307.14<BR>\n" );
document.write( "A = 30714 sq ft<BR>\n" );
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