document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206365>Question 206365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a garden are in whole numbers.  If the length is reduced by 3 and the width reduced by 1 then the area is reduced by half.  What were the dimensions and area of the original rectangle.\r<BR>\n" );
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document.write( "I know the answer but cannot find the math to get to it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156089 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=156089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The dimensions of a garden are in whole numbers.<BR>\n" );
document.write( " If the length is reduced by 3 and the width reduced by 1 then the area is reduced by half. <BR>\n" );
document.write( "What were the dimensions and area of the original rectangle.<BR>\n" );
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document.write( "Let L = original length<BR>\n" );
document.write( "Let W = original width<BR>\n" );
document.write( "LW = original area<BR>\n" );
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document.write( "(L-3) = new length<BR>\n" );
document.write( "(W-1) = new width<BR>\n" );
document.write( "New area = (L-3)*(W-1) = (LW - L - 3W + 3)<BR>\n" );
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document.write( "Original area = twice new area<BR>\n" );
document.write( "LW = 2(LW - L - 3W + 3)<BR>\n" );
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document.write( "LW = 2LW - 2L - 6W + 6<BR>\n" );
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document.write( "2LW - LW - 2L - 6W + 6 = 0<BR>\n" );
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document.write( "LW - 2L = 6W - 6<BR>\n" );
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document.write( "L(W - 2) = 6W - 6<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286W+-+6%29%2F%28W+-+2%29 ALIGN=MIDDLE  ALT=\"%286W+-+6%29%2F%28W+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find a value for W that produces an integer value for L<BR>\n" );
document.write( "W = 3<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%283%29+-+6%29%2F%283+-+2%29 ALIGN=MIDDLE  ALT=\"%286%283%29+-+6%29%2F%283+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = 12<BR>\n" );
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document.write( "original: 12 by 3<BR>\n" );
document.write( "original area = 36<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "New area: 9 * 2 = 18, half the original<BR>\n" );
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