document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602129>Question 602129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show all work. Thanks in advance.\r<BR>\n" );
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document.write( "Solving using a system of two equations and two unknowns.  \r<BR>\n" );
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document.write( "A computer parts company wants to make a rectangle memory board that has a perimeter of 34cm and a diagonally of length 13cm. Find the dimensions of a board. Consider the length to be the longer side.\r<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 #380136 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380136\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> le length be x<BR>\n" );
document.write( "width be y\r<BR>\n" );
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document.write( "perimeter = 2(x+y) = 34<BR>\n" );
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document.write( "x+y =17\r<BR>\n" );
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document.write( "By Pythagoras theorem<BR>\n" );
document.write( "The doagonal forms a right triangle with the sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2=+13%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2=+13%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add 2xy \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2xy%2By%5E2=169%2B2xy ALIGN=MIDDLE  ALT=\"x%5E2%2B2xy%2By%5E2=169%2B2xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%5E2=169%2B2xy ALIGN=MIDDLE  ALT=\"%28x%2By%29%5E2=169%2B2xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "17^2=169+2xy\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=289=169%2B2xy ALIGN=MIDDLE  ALT=\"289=169%2B2xy\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=289-169=2xy ALIGN=MIDDLE  ALT=\"289-169=2xy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "120=2xy<BR>\n" );
document.write( "xy = 60<BR>\n" );
document.write( "x= 60/y\r<BR>\n" );
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document.write( "x+y =17<BR>\n" );
document.write( "60/y + y = 17<BR>\n" );
document.write( "60+y^2=17y\r<BR>\n" );
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document.write( "y^2-17y+60=0<BR>\n" );
document.write( "y^2-12y-5y+60=0<BR>\n" );
document.write( "y(y-12)-5(y-12)=0<BR>\n" );
document.write( "(y-12)(y-5)=0<BR>\n" );
document.write( "y= 12cm OR 5cm\r<BR>\n" );
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document.write( "The dimensions are 12cm length & 5 cm width\r<BR>\n" );
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