document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096569>Question 1096569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular plot of land is 70 meters. The length of a diagonal is 25 meters. calculate the length and width of the plot </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711037 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangular plot of land is 70 meters.<BR>\n" );
document.write( "2L + 2w = 70<BR>\n" );
document.write( "simplify, divide by 2<BR>\n" );
document.write( "L + w = 35<BR>\n" );
document.write( "L = -w + 35, we can use this form for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The length of a diagonal is 25 meters.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2+%2B+w%5E2+=+25%5E2 ALIGN=MIDDLE  ALT=\"L%5E2+%2B+w%5E2+=+25%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L%5E2+%2B+w%5E2+=+625 ALIGN=MIDDLE  ALT=\"L%5E2+%2B+w%5E2+=+625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Replace L with (-w+35)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-w%2B35%29%5E2+%2B+w%5E2+=+625 ALIGN=MIDDLE  ALT=\"%28-w%2B35%29%5E2+%2B+w%5E2+=+625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FOIL (-w+35)(-w+35)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+-+35w+-+35w+%2B+1225+%2B+w%5E2+=+625 ALIGN=MIDDLE  ALT=\"w%5E2+-+35w+-+35w+%2B+1225+%2B+w%5E2+=+625\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "arrange as a quadratic equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2+-+70w+%2B+1225+-+625+=+0 ALIGN=MIDDLE  ALT=\"2w%5E2+-+70w+%2B+1225+-+625+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2w%5E2+-+70w+%2B+600+=+0 ALIGN=MIDDLE  ALT=\"2w%5E2+-+70w+%2B+600+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify divide by 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2+-+35w+%2B+300+=+0 ALIGN=MIDDLE  ALT=\"w%5E2+-+35w+%2B+300+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can use the quadratic formula; a=1;b=-35;c=300, but this will factor to:<BR>\n" );
document.write( "(w-15)(w-20) = 0<BR>\n" );
document.write( "two solution<BR>\n" );
document.write( "w = 15 m is the width, then the length 35 - 15 = 20 m  <BR>\n" );
document.write( "or<BR>\n" );
document.write( "w = 20 m is the width, then the length is 15 m<BR>\n" );
document.write( ":<BR>\n" );
document.write( " calculate the length and width of the plot: 20 by 15 <BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check this solution by finding the diagonal<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2820%5E2+%2B+15%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2820%5E2+%2B+15%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );