document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167806>Question 167806</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780199152629/algebrahomeworkh>Mathematics for Edexcel IGCSE</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Hi thanks a lot for offering to help this is great.<BR>\n" );
document.write( "The question gives me a rectangle with a height of 2x-1 and a width (base) of 3x-1. The question also says the length of a diagonal in the rectangle is the square root of 5. Calculate the area of the rectangle.<BR>\n" );
document.write( "Thanks again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123711 by </B><A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><B>KnightOwlTutor(293)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KnightOwlTutor><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=KnightOwlTutor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=123711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since you are dealing with right triangles use the Pythagorean Theorem.\r<BR>\n" );
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document.write( "a^2+b^2=c^2\r<BR>\n" );
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document.write( "side a=height of rectangle=2x-1<BR>\n" );
document.write( "side b=width of rectangle=3x-1<BR>\n" );
document.write( "Hypotenuse=diagonal =sq rt 5\r<BR>\n" );
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document.write( "Plug in\r<BR>\n" );
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document.write( "(2x-1)^2+(3x-1)^2=5\r<BR>\n" );
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document.write( "Use the foil method to expand the expression.\r<BR>\n" );
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document.write( "4x^2-4x+1+9x^2-6x+1=5\r<BR>\n" );
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document.write( "Combine like terms to simplify\r<BR>\n" );
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document.write( "13x^2-10x+2=5\r<BR>\n" );
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document.write( "Subtract 5 from both sides\r<BR>\n" );
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document.write( "13x^2-10x-3=0\r<BR>\n" );
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document.write( "Factor\r<BR>\n" );
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document.write( "(13x+3)(x-1)=0\r<BR>\n" );
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document.write( "x=-13/3 or 1<BR>\n" );
document.write( "x cannot be a negative number so the only answer is x=1\r<BR>\n" );
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document.write( "side a=height of rectangle=2x-1=2-1=1<BR>\n" );
document.write( "side b=width of rectangle=3x-1=3-1=2\r<BR>\n" );
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document.write( "area of a rectangle is axb=2\r<BR>\n" );
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document.write( " </SPAN>\n" );
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