document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84840>Question 84840</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0495188743/algebrahomeworkh>Elementry and Entermeditate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 18 square meters. When the length is increased by 2 meters and the width by 3 meters the area becames 48 square meters. Find the dimensions of the smaller triangle.\r<BR>\n" );
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document.write( "Just by looking at this problem I can tell the answer is 6 meters and 3 meters. But I can not figure out how to set up the forula. \r<BR>\n" );
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document.write( "I tried (m+2)(m+3)=48 <BR>\n" );
document.write( "I then used FOIL then used the quadratic formula but it didn't work. <BR>\n" );
document.write( "Can anybody help<BR>\n" );
document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61124 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=61124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w = width<BR>\n" );
document.write( "l = length<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Al+=+18 ALIGN=MIDDLE  ALT=\"w%2Al+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by l<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+18%2Fl ALIGN=MIDDLE  ALT=\"w+=+18%2Fl\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w+%2B+3%29%28l+%2B+2%29+=+48%29 ALIGN=MIDDLE  ALT=\"%28w+%2B+3%29%28l+%2B+2%29+=+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%2Al+%2B+3l+%2B+2w+%2B+6+=+48 ALIGN=MIDDLE  ALT=\"w%2Al+%2B+3l+%2B+2w+%2B+6+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18+%2B+3l+%2B+2%2A%2818%2Fl%29+%2B+6+=+48 ALIGN=MIDDLE  ALT=\"18+%2B+3l+%2B+2%2A%2818%2Fl%29+%2B+6+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3l+%2B+36%2Fl+=+24 ALIGN=MIDDLE  ALT=\"3l+%2B+36%2Fl+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "multiply both sides by l<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3l%5E2+%2B+36+=+24l ALIGN=MIDDLE  ALT=\"3l%5E2+%2B+36+=+24l\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3l%5E2+-+24l+%2B+36+=+0 ALIGN=MIDDLE  ALT=\"3l%5E2+-+24l+%2B+36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l%5E2+-+8l+%2B+12+=+0 ALIGN=MIDDLE  ALT=\"l%5E2+-+8l+%2B+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28l+-+2%29%28l+-+6%29+=+0 ALIGN=MIDDLE  ALT=\"%28l+-+2%29%28l+-+6%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Two values of l make this equation true, l = 2 and l = 6<BR>\n" );
document.write( "Going back to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+18%2Fl ALIGN=MIDDLE  ALT=\"w+=+18%2Fl\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if<BR>\n" );
document.write( "l = 2<BR>\n" );
document.write( "w = 9<BR>\n" );
document.write( "Then going back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w+%2B+3%29%28l+%2B+2%29+=+48%29 ALIGN=MIDDLE  ALT=\"%28w+%2B+3%29%28l+%2B+2%29+=+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289+%2B+3%29%282+%2B+2%29+=+48%29 ALIGN=MIDDLE  ALT=\"%289+%2B+3%29%282+%2B+2%29+=+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is true, so those values work<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w+=+18%2Fl ALIGN=MIDDLE  ALT=\"w+=+18%2Fl\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If l = 6, then<BR>\n" );
document.write( "w = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w+%2B+3%29%28l+%2B+2%29+=+48%29 ALIGN=MIDDLE  ALT=\"%28w+%2B+3%29%28l+%2B+2%29+=+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+%2B+3%29%286+%2B+2%29+=+48 ALIGN=MIDDLE  ALT=\"%283+%2B+3%29%286+%2B+2%29+=+48\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is true also, so both<BR>\n" );
document.write( "l = 2, w = 9<BR>\n" );
document.write( "and<BR>\n" );
document.write( "l = 6<BR>\n" );
document.write( "w = 3<BR>\n" );
document.write( "are both solutions. Take your pick\r<BR>\n" );
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document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );