document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939239>Question 939239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?\r<BR>\n" );
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document.write( "A.<BR>\n" );
document.write( "9 inches<BR>\n" );
document.write( "B.<BR>\n" );
document.write( "12 inches<BR>\n" );
document.write( "C.<BR>\n" );
document.write( "13 inches<BR>\n" );
document.write( "D.<BR>\n" );
document.write( "18 inches<BR>\n" );
document.write( " 	  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572315 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=572315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a rectangular painting is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3in ALIGN=MIDDLE  ALT=\"3in\"   DISABLED_style= \"max-width:90%; height:auto;\" > longer than its width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B3in ALIGN=MIDDLE  ALT=\"L=W%2B3in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=15in ALIGN=MIDDLE  ALT=\"d=15in\"   DISABLED_style= \"max-width:90%; height:auto;\" > long, what is the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the painting? \r<BR>\n" );
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document.write( "use Pythagorean theorem since the length, the width, and the diagonal of the rectangle form right triangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%5E2=L%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"d%5E2=L%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%29%5E2=%28W%2B3%29%5E2%2BW%5E2 ALIGN=MIDDLE  ALT=\"%2815%29%5E2=%28W%2B3%29%5E2%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=225=W%5E2%2B6W%2B9%2BW%5E2 ALIGN=MIDDLE  ALT=\"225=W%5E2%2B6W%2B9%2BW%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2W%5E2%2B6W%2B9i-225 ALIGN=MIDDLE  ALT=\"0=2W%5E2%2B6W%2B9i-225\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2W%5E2%2B6W-216 ALIGN=MIDDLE  ALT=\"0=2W%5E2%2B6W-216\"   DISABLED_style= \"max-width:90%; height:auto;\" >....divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=W%5E2%2B3W-108 ALIGN=MIDDLE  ALT=\"0=W%5E2%2B3W-108\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...factor, write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3W ALIGN=MIDDLE  ALT=\"3W\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-9W%2B12W ALIGN=MIDDLE  ALT=\"-9W%2B12W\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2-9W%2B12W-108 ALIGN=MIDDLE  ALT=\"W%5E2-9W%2B12W-108\"   DISABLED_style= \"max-width:90%; height:auto;\" >...group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%5E2-9W%29%2B%2812W-108%29 ALIGN=MIDDLE  ALT=\"%28W%5E2-9W%29%2B%2812W-108%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%28W-9%29%2B12%28W-9%29 ALIGN=MIDDLE  ALT=\"W%28W-9%29%2B12%28W-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B12%29%28W-9%29=0 ALIGN=MIDDLE  ALT=\"%28W%2B12%29%28W-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W%2B12%29=0 ALIGN=MIDDLE  ALT=\"%28W%2B12%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=-12 ALIGN=MIDDLE  ALT=\"W=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >...since we are looking for a width we cannot use negative solution\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28W-9%29=0 ALIGN=MIDDLE  ALT=\"%28W-9%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=9in%29 ALIGN=MIDDLE  ALT=\"highlight%28W=9in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...this is our solution\r<BR>\n" );
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document.write( "now find the length\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=W%2B3in ALIGN=MIDDLE  ALT=\"L=W%2B3in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=9in%2B3in ALIGN=MIDDLE  ALT=\"L=9in%2B3in\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=12in%29 ALIGN=MIDDLE  ALT=\"highlight%28L=12in%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and your answer is <BR>\n" );
document.write( "B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );