document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442907>Question 442907</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangle is 2 more than the width. The area is 24 square inches. Find the dimensions. <BR>\n" );
document.write( "It asks for the Length and width in inches as answers. I appreciate any help with this, thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305510 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305510\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember, the area of a rectangle is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+lw ALIGN=MIDDLE  ALT=\"A+=+lw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "They give us the area,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=24in%5E2 ALIGN=MIDDLE  ALT=\"A=24in%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "We know that the length is 2 more than the width, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+w%2B2 ALIGN=MIDDLE  ALT=\"l+=+w%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+lw++=+%28w%2B2%29%2A%28w%29 ALIGN=MIDDLE  ALT=\"24+=+lw++=+%28w%2B2%29%2A%28w%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24+=+w%5E2+%2B+2w ALIGN=MIDDLE  ALT=\"24+=+w%5E2+%2B+2w\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B2w+-+24+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+%2B2w+-+24+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "What multiplies to -24 and adds to 2?  Since our product is negative and our sum is positive, then we must have a negative and positive answer.\r<BR>\n" );
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document.write( "Here are the factors of 24:<BR>\n" );
document.write( "1 24<BR>\n" );
document.write( "2 12<BR>\n" );
document.write( "3 8 <BR>\n" );
document.write( "4 6\r<BR>\n" );
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document.write( "Notice 6 -4 = 2 and 6*-4 = -24.\r<BR>\n" );
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document.write( "Then we can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+%2B2w+-24+=+%28w%2B6%29%28w-4%29 ALIGN=MIDDLE  ALT=\"w%5E2+%2B2w+-24+=+%28w%2B6%29%28w-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This gives us answers of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-6 ALIGN=MIDDLE  ALT=\"w=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=4 ALIGN=MIDDLE  ALT=\"w=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But does it make sense to have a negative length?  No.\r<BR>\n" );
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document.write( "So w=4 is the only LOGICAL answer.\r<BR>\n" );
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document.write( "Now plug w=4 back into either our area formula or  l=w+2. I like adding. :P\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l+=+4+%2B2++=+6 ALIGN=MIDDLE  ALT=\"l+=+4+%2B2++=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So our dimension are 6x4, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28l=6in%29 ALIGN=MIDDLE  ALT=\"highlight%28l=6in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28w=4in%29 ALIGN=MIDDLE  ALT=\"highlight%28w=4in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To check:\r<BR>\n" );
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document.write( "6 is 2 greater than 4.\r<BR>\n" );
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document.write( "6in * 4in= 24 square inches.\r<BR>\n" );
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