document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174673>Question 174673</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131339982/algebrahomeworkh>Prentic Hall Mathematics Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> In this problem, they give me the diagram of a rectangle with a diagonal dividing it in two triangles. Each corner is labeled with A, B, C, and D. \r<BR>\n" );
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document.write( "The perimeter of a rectangle is 28 cm. The perimeter of each of the triangles is 24 cm. The diagonal of the rectangle is 2 cm longer than the longer side of the rectangle. <BR>\n" );
document.write( "How do you write a system of three questions in three unknowns?<BR>\n" );
document.write( "How do you simplify the system to a system of two equations in two unknowns?<BR>\n" );
document.write( "And how can I write an augmented matrix for the system?\r<BR>\n" );
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document.write( "This is what I've done so far:<BR>\n" );
document.write( "2a+2b=28<BR>\n" );
document.write( "a+b+x=24<BR>\n" );
document.write( "2+a=?\r<BR>\n" );
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document.write( "Thankyou&Happy New Year!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129713 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=129713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let L and W be the sides of the rectangle and Z be the diagonal<BR>\n" );
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document.write( "2L+2W=28.....eq 1<BR>\n" );
document.write( "L+W+Z=24.....eq 2<BR>\n" );
document.write( "L+2=Z........eq 3<BR>\n" );
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document.write( "take Z's value of L+2 from eq 3 and plug it into eq 2<BR>\n" );
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document.write( "L+W+(L+2)=24--->2L+W=22....revised eq 2<BR>\n" );
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document.write( "now we have 2 eq with 2 unknowns<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%282L%2B2W=28%2C2L%2B+W=22%29 ALIGN=MIDDLE  ALT=\"system%282L%2B2W=28%2C2L%2B+W=22%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":\r<BR>\n" );
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document.write( "augmented matrix<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C3%2C2%2C2%2C28%2C2%2C1%2C22%29%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C3%2C2%2C2%2C28%2C2%2C1%2C22%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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