document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=272895>Question 272895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. The length of a rectangle is 4 times the width.  The perimeter is 120cm.  Find the width and the length of the rectangle.\r<BR>\n" );
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document.write( "2. The length of a rectangle is 7m greater than the width.  The perimeter is 110m.  Find the length and width of the rectangle.\r<BR>\n" );
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document.write( "3. The width of a rectangle is 8cm less than the length.  The perimeter is 96cm.  Find the length and width of the rectangle.\r<BR>\n" );
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document.write( "4. The perimeter of a triangle is 110cm.   Side x of the triangle is four times as long as side y.  Side z is 2cm longer than side x.  Find the length of each side.  \r<BR>\n" );
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document.write( "5. The first side of a triangle is 6m shorter than the second side.   The third side is 3 times as long as the first side.  The perimeter of the triangle is 206m.  Find the length of each side.\r<BR>\n" );
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document.write( "6. The third side of an isosceles triangle is 20m shorter than twice the length of the congruent side.  The perimeter is 240m.  Find the length of each side.<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 #199480 by </B><A HREF=/tutors/aboutme.mpl?userid=JBarnum><B>JBarnum(2146)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JBarnum><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=JBarnum><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199480\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First off #1 is the same as #2 and #3 so you sould be able to solve #2 and #3 after seeing how to do #1. #4 and #5 are the same type of problem, i will do #5.\r<BR>\n" );
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document.write( "1. The length of a rectangle is 4 times the width.  The perimeter is 120cm.  Find the width and the length of the rectangle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2L%2B2W ALIGN=MIDDLE  ALT=\"P=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=120 ALIGN=MIDDLE  ALT=\"P=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W ALIGN=MIDDLE  ALT=\"L=4W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute and solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2L%2B2W ALIGN=MIDDLE  ALT=\"P=2L%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=2%284W%29%2B2W ALIGN=MIDDLE  ALT=\"120=2%284W%29%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=8W%2B2W ALIGN=MIDDLE  ALT=\"120=8W%2B2W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120=10W ALIGN=MIDDLE  ALT=\"120=10W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2812%29=W ALIGN=MIDDLE  ALT=\"highlight%2812%29=W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W ALIGN=MIDDLE  ALT=\"L=4W\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4%2812%29 ALIGN=MIDDLE  ALT=\"L=4%2812%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=highlight%2848%29 ALIGN=MIDDLE  ALT=\"L=highlight%2848%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<p><BR>\n" );
document.write( "5. The first side of a triangle is 6m shorter than the second side.   The third side is 3 times as long as the first side.  The perimeter of the triangle is 206m.  Find the length of each side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=x%2By%2Bz ALIGN=MIDDLE  ALT=\"P=x%2By%2Bz\"   DISABLED_style= \"max-width:90%; height:auto;\" > x is first, y is second, and z is third <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=206 ALIGN=MIDDLE  ALT=\"P=206\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=y-6 ALIGN=MIDDLE  ALT=\"x=y-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3x ALIGN=MIDDLE  ALT=\"z=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use substitution and solve for y first<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=x%2By%2Bz ALIGN=MIDDLE  ALT=\"P=x%2By%2Bz\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=206=%28y-6%29%2By%2B%283%28y-6%29%29 ALIGN=MIDDLE  ALT=\"206=%28y-6%29%2By%2B%283%28y-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplify by adding like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=206=-6%2B2y%2B%283y-18%29%29 ALIGN=MIDDLE  ALT=\"206=-6%2B2y%2B%283y-18%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=206=5y-24 ALIGN=MIDDLE  ALT=\"206=5y-24\"   DISABLED_style= \"max-width:90%; height:auto;\" >add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230=5y ALIGN=MIDDLE  ALT=\"230=5y\"   DISABLED_style= \"max-width:90%; height:auto;\" >divide<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46=y ALIGN=MIDDLE  ALT=\"46=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "solve the other equations with y=46<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=46-6 ALIGN=MIDDLE  ALT=\"x=46-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=40 ALIGN=MIDDLE  ALT=\"x=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3x ALIGN=MIDDLE  ALT=\"z=3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=3%2840%29 ALIGN=MIDDLE  ALT=\"z=3%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=120 ALIGN=MIDDLE  ALT=\"z=120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First side=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2840%29 ALIGN=MIDDLE  ALT=\"highlight%2840%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "second side=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2846%29 ALIGN=MIDDLE  ALT=\"highlight%2846%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "third side=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28120%29 ALIGN=MIDDLE  ALT=\"highlight%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<p><BR>\n" );
document.write( "6. The third side of an isosceles triangle is 20m shorter than twice the length of the congruent side.  The perimeter is 240m.  Find the length of each side.<BR>\n" );
document.write( "We know that an isosceles triangle has 2 equal sides<BR>\n" );
document.write( "so the first and second side are = to each other.<BR>\n" );
document.write( "so if P=x+y+z and x=y then P=x+x+z=2x+z if P=240 AND z=2x-20 then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240=2x%2B%282x-20%29 ALIGN=MIDDLE  ALT=\"240=2x%2B%282x-20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=240=4x-20 ALIGN=MIDDLE  ALT=\"240=4x-20\"   DISABLED_style= \"max-width:90%; height:auto;\" >add<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=260=4x ALIGN=MIDDLE  ALT=\"260=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" >divide<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2865=x%29 ALIGN=MIDDLE  ALT=\"highlight%2865=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2865=y%29 ALIGN=MIDDLE  ALT=\"highlight%2865=y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2x-20 ALIGN=MIDDLE  ALT=\"z=2x-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=2%2865%29-20 ALIGN=MIDDLE  ALT=\"z=2%2865%29-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=130-20 ALIGN=MIDDLE  ALT=\"z=130-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28z=110%29 ALIGN=MIDDLE  ALT=\"highlight%28z=110%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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