document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885365>Question 885365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?<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 #535104 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=535104\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A section on the playground is in the shape of a triangle and has an area of 24 square feet. If the base is four more than twice the height, what is the measure of the height?<BR>\n" );
document.write( "Let h = measure of height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4+2h = measure of base<BR>\n" );
document.write( ".<BR>\n" );
document.write( "area of any triangle is (1/2)base*height<BR>\n" );
document.write( "(1/2)(4+2h)h = 24<BR>\n" );
document.write( "(2+h)h = 24<BR>\n" );
document.write( "2h+h^2 = 24<BR>\n" );
document.write( "h^2+2h-24 = 0<BR>\n" );
document.write( "(h+6)(h-4) = 0<BR>\n" );
document.write( "h = {-6, 4}<BR>\n" );
document.write( "throw out the negative solution (extraneous) leaving:<BR>\n" );
document.write( "h = 4 feet </SPAN>\n" );
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