document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39728>Question 39728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The area of a rectangle is 344 cm sq. The height is three more than five times the base. What is the height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25144 by </B><A HREF=/tutors/aboutme.mpl?userid=smik><B>smik(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=smik><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=25144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Very interesting question.<BR>\n" );
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document.write( "Okay, before jumping into the question let's translate the problem into some mathematical language.<BR>\n" );
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document.write( "We know that:<BR>\n" );
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document.write( "A = 344      (where A is Area in cm sq.)<BR>\n" );
document.write( "A = H x B    (where H is the height, and B is the base.)<BR>\n" );
document.write( "H = 3 + 5B   (the problem tells us that the height is 3 more than 5 times the           base.)<BR>\n" );
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document.write( "Know that all of the above is clear, we can substitute H for (3 + 5B) and A for (344) in the equation A = H x B, and so we get:<BR>\n" );
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document.write( "344 = (3+5B) x B<BR>\n" );
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document.write( "Simplify this and we get:<BR>\n" );
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document.write( "344 = 3B + 5B^2<BR>\n" );
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document.write( "Simplify this further - since it's a quadratic equation - and we get:<BR>\n" );
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document.write( "0 = 5B^2 + 3B - 344<BR>\n" );
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document.write( "Now we can solve the equation using the Quadratic Equation Solver to get:<BR>\n" );
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document.write( "B = 8 or -8.6<BR>\n" );
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document.write( "Since we're dealing with a positive area we can eliminate -8.6, which leaves us with the length of B as 8cm. However, the question asks us to figure out the height so we must plug it in into our initial formula (A = H x B) to solve for H:<BR>\n" );
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document.write( "A = H x B<BR>\n" );
document.write( "344 = H x 8     (divide both sides by 8)<BR>\n" );
document.write( "H = 43 <BR>\n" );
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document.write( "So the final answer is:<BR>\n" );
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document.write( "H = 43cm </SPAN>\n" );
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