document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=139124>Question 139124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve this:<BR>\n" );
document.write( "A retangular piece of wood is 12cm longer than it is wide. A strip 1cm wide is cut off all around. This decreses the area by 120 square cm. What were the original dimensions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101555 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=101555\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular piece of wood is 12 cm longer than it is wide. A strip 1 cm wide is cut off all around. This decreases the area by 120 square cm. What were the original dimensions?<BR>\n" );
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document.write( "Let x = width of the wood<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(x+12) = length <BR>\n" );
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document.write( "Original area = x(x+12) = (x^2 + 12x)<BR>\n" );
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document.write( "Dimensions after the 1 cm strip removed<BR>\n" );
document.write( "Width = (x-2)<BR>\n" );
document.write( "Length = (x+12) - 2 = (x+10)<BR>\n" );
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document.write( "Area now: (x-2)(x+10) = (x^2 + 8x - 20)<BR>\n" );
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document.write( "The equation:<BR>\n" );
document.write( " old area - new area = 120<BR>\n" );
document.write( "(x^2 + 12x) - (x^2 + 8x - 20) = 120<BR>\n" );
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document.write( "x^2 + 12x - x^2 - 8x + 20 = 120<BR>\n" );
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document.write( "12x - 8x = 120 - 20<BR>\n" );
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document.write( "4x = 100<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F4 ALIGN=MIDDLE  ALT=\"100%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 25 cm is the original width<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(25 + 12) = 37 cm is the original length<BR>\n" );
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document.write( "Check solution by find the areas:<BR>\n" );
document.write( "37*25 = 925<BR>\n" );
document.write( "35*23 = 805<BR>\n" );
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document.write( "diff: = 120<BR>\n" );
document.write( " </SPAN>\n" );
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