document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036057>Question 1036057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The front of an A-frame cabin in a national park is in the shade of a triangle, with an area of 189 ft^2. If the height is 1 ft less than twice the base, find the base and the height of the front of the cabin?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650652 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The area of a triangle is of course<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29bh ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29bh\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Here A = 189 and h = 2b - 1...plugging in gives us<BR>\n" );
document.write( "189 = (1/2)(b)(2b-1)<BR>\n" );
document.write( "378 = 2b^2 - b<BR>\n" );
document.write( "2b^2 - b - 378 = 0<BR>\n" );
document.write( "and if you solve this you get<BR>\n" );
document.write( "(2b + 27)(b - 14)=0 and<BR>\n" );
document.write( "b = 14 or b = -13.5<BR>\n" );
document.write( "The base has to be 14 ft and the height is 2(14)-1 = 27 ft. </SPAN>\n" );
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