document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=231412>Question 231412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 9 cm shorter than it's length. The perimeter of the rectangle is 40 cm. What are the length and width of the rectangle?\r<BR>\n" );
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document.write( "And I don't know how this works so if you don't answer this one too that's okay;\r<BR>\n" );
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document.write( "The perimeter of an equilateral triangle is 4 times the perimeter of a regular hexagon. The length of a side of the triangle is 10 cm more than 6 times the length of a side of the hexagon. What is the perimeter of the triangle? What is the perimeter of the hexagon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171445 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=171445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The width of a rectangle is 9 cm shorter than it's length.<BR>\n" );
document.write( " The perimeter of the rectangle is 40 cm.<BR>\n" );
document.write( " What are the length and width of the rectangle?<BR>\n" );
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document.write( "Let x = the width<BR>\n" );
document.write( "then, since the length is 9 cm longer<BR>\n" );
document.write( "(x+9) = the length<BR>\n" );
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document.write( "P = 2L + 2W = 40<BR>\n" );
document.write( "so we have<BR>\n" );
document.write( "2(x+9) + 2x = 40<BR>\n" );
document.write( "2x + 18 + 2x = 40<BR>\n" );
document.write( "2x + 2x = 40 - 18<BR>\n" );
document.write( "4x = 22<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F4 ALIGN=MIDDLE  ALT=\"22%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 5.5 cm is the width<BR>\n" );
document.write( "and<BR>\n" );
document.write( "5.5 + 9 = 14.5 = the length<BR>\n" );
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document.write( "Check solution: <BR>\n" );
document.write( "2(14.5) + 2(5.5) = <BR>\n" );
document.write( "29 + 11 = 40<BR>\n" );
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document.write( "Let 3t = perimeter of the triangle (1 side = t)<BR>\n" );
document.write( "Let 6h = perimeter of the hexagon (1 side = h)<BR>\n" );
document.write( "\"The perimeter of an equilateral triangle is 4 times the perimeter of a regular hexagon.\"<BR>\n" );
document.write( "3t = 4(6h)<BR>\n" );
document.write( "3t = 24h<BR>\n" );
document.write( "Simplify, divide by 3<BR>\n" );
document.write( "t = 8h <BR>\n" );
document.write( "\"The length of a side of the triangle is 10 cm more than 6 times the length of a side of the hexagon.\"<BR>\n" );
document.write( "t = 6h + 10<BR>\n" );
document.write( "Replace t with 8h<BR>\n" );
document.write( "8h = 6h + 10<BR>\n" );
document.write( "8h - 6h = 10<BR>\n" );
document.write( "2h = 10<BR>\n" );
document.write( "h = 5 cm one side of the hexagon<BR>\n" );
document.write( "and<BR>\n" );
document.write( "t = 8(5)<BR>\n" );
document.write( "t = 40 cm, one side of the triangle<BR>\n" );
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document.write( " What is the perimeter of the triangle?<BR>\n" );
document.write( "3(40) = 120 cm<BR>\n" );
document.write( " What is the perimeter of the hexagon?<BR>\n" );
document.write( "6(5) = 30 cm<BR>\n" );
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document.write( "Checks out: Given the perimeter of triangle is 4 time perimeter of hexagon </SPAN>\n" );
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