document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153149>Question 153149</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a room's length is 3 feet less than twice its width. the area if the room is 135 square feet. What are the rooms dimensions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112655 by </B><A HREF=/tutors/aboutme.mpl?userid=orca><B>orca(409)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=orca><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=112655\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the width of the room, then the length can be expressed in terms of x as 2x - 3.<BR>\n" );
document.write( "Its area in terms of x is x(2x - 3).<BR>\n" );
document.write( "Setting x(2x - 3) = 135, we have<BR>\n" );
document.write( "x(2x - 3) = 135<BR>\n" );
document.write( "Re-arrange the quadratic equation into standard form:<BR>\n" );
document.write( "2x^2 - 3x - 135 = 0<BR>\n" );
document.write( "Solve it by using the quadratic formula:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%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( "Here a = 2, b = -3 and c = -135\r<BR>\n" );
document.write( "\n" );
document.write( "So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A2%2A%28-135%29+%29%29%2F%282%2A2%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-%28-3%29+%2B-+sqrt%28+%28-3%29%5E2-4%2A2%2A%28-135%29+%29%29%2F%282%2A2%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-+sqrt%28+9%2B1080+%29%29%2F4 ALIGN=MIDDLE  ALT=\"%283+%2B-+sqrt%28+9%2B1080+%29%29%2F4\"   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-+sqrt%28+1089%29%29%2F4 ALIGN=MIDDLE  ALT=\"%283+%2B-+sqrt%28+1089%29%29%2F4\"   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-+33%29%2F4 ALIGN=MIDDLE  ALT=\"%283+%2B-+33%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283%2B33%29%2F4+=+36%2F4=9 ALIGN=MIDDLE  ALT=\"x+=+%283%2B33%29%2F4+=+36%2F4=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283-33%29%2F4+=+-30%2F4=-7.5 ALIGN=MIDDLE  ALT=\"x+=+%283-33%29%2F4+=+-30%2F4=-7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Reject x = -7.5 as the width can not be negative.<BR>\n" );
document.write( "So the solution is x = 9<BR>\n" );
document.write( "Therefore the width is 9ft,the length is 2x - 3=2*9-3=15.<BR>\n" );
document.write( " </SPAN>\n" );
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