document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128434>Question 1128434</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the base of the triangular sheet of canvas above the door of the tent shown below is 2 feet more than twice its height. The area is 56 square feet. Find the height and the length of the base of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745057 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=745057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since there is no diagram, I am going to assume:<BR>\n" );
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document.write( "The length of the base of the triangle is 2 feet more than twice its height.<BR>\n" );
document.write( "b = 2h + 2<BR>\n" );
document.write( " The area is 56 square feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >b*h = 56<BR>\n" );
document.write( "multiply by 2, get rid of the fraction<BR>\n" );
document.write( "b * h = 112<BR>\n" );
document.write( " Find the height and the length of the base of the triangle. <BR>\n" );
document.write( "replace b with (2h+2) in the above equation<BR>\n" );
document.write( "(2h+2)*h = 112<BR>\n" );
document.write( "2h^2 + 2h = 112<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "2h^2 + 2h - 112 = 0<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "h^2 + h - 56 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(h+8)(h-7) = 0<BR>\n" );
document.write( "the positive solution<BR>\n" );
document.write( "h = 7 ft is the height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "b = 2(7) + 2<BR>\n" );
document.write( "b = 16 ft is the height<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >16*7 = 56 </SPAN>\n" );
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