document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=314897>Question 314897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width. I figured finding the square root would help a bit, sqrt or 216 is about 14.7, i tried to subtract 6 then add six and i just made myself confused. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225232 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=225232\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"A rectangular cutting board is 6 inches longer than it is wide. If the area of the cutting board is 216 square inches, find the length and the width. I figured finding the square root would help a bit, sqrt or 216 is about 14.7, i tried to subtract 6 then add six and i just made myself confused.\"\r<BR>\n" );
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document.write( "area of a rectangle A = length L * width W<BR>\n" );
document.write( "A = (W + 6) * W = 216 (length is 6 inches longer than width)<BR>\n" );
document.write( "A = W^2 + 6W = 216<BR>\n" );
document.write( "W^2 + 6W - 216 = 0 (solve for W, throw out negative answer)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"W+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a = 1, b = 6, c = -216<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-6+%2B-+sqrt%28+36+-+4%2A%28-216%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-6+%2B-+sqrt%28+36+-+4%2A%28-216%29+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-6+%2B-+sqrt%2836+%2B+864%29%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-6+%2B-+sqrt%2836+%2B+864%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-6+%2B-+sqrt%28900%29%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-6+%2B-+sqrt%28900%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-6+%2B-+30%29%2F2+ ALIGN=MIDDLE  ALT=\"W+=+%28-6+%2B-+30%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "W = (-6 + 30)/2 or W = (-6 - 30)/2<BR>\n" );
document.write( "W = 24/2 = 12 or W = -36/2 = -18<BR>\n" );
document.write( "W = 12 since W can not be negative<BR>\n" );
document.write( "18 * 12 = 216\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
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