document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=223729>Question 223729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 64 meters. the sum of the length and width is 32 meters. Find the length and width of the rectangle. <BR>\n" );
document.write( "Tried 2x+2y= 64<BR>\n" );
document.write( "x+y=32...now what? Thanks so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #167314 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=167314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The perimeter of a rectangle is 64 meters. the sum of the length and width is 32 meters. Find the length and width of the rectangle. <BR>\n" );
document.write( "Tried 2x+2y= 64<BR>\n" );
document.write( "x+y=32...now what? Thanks so much!\r<BR>\n" );
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document.write( "Let width of rectangle be W\r<BR>\n" );
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document.write( "Let length of rectangle be L\r<BR>\n" );
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document.write( "Since its perimeter = 64, then we can say that 2W + 2L = 64\r<BR>\n" );
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document.write( "Since it's also given that the sum of its width and length is 32, then we can say that W + L = 32\r<BR>\n" );
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document.write( "We now have 2 equations, as follows:\r<BR>\n" );
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document.write( "W + L = 32 -------- (i)\r<BR>\n" );
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document.write( "2W + 2L = 64 ------ (ii)<BR>\n" );
document.write( "2W + 2L = 64 -------- (iii) ------ Multiplying eq (i) by 2\r<BR>\n" );
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document.write( "We can clearly see that the 2 equations are identical, which means that there are an infinite number of REAL numbers that can represent the length or the width of this rectangle. However, whatever length and width are given to the rectangle, they both have to be GREATER than 0, and their sum has to add to 32. In other words, if width = 10, then length = 22, or vice-versa. Likewise, if width were to be 1, then length = 31, and so on.\r<BR>\n" );
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document.write( "Therefore, we can say that the width of this rectangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%280+%3C+W+%3C+32%29 ALIGN=MIDDLE  ALT=\"highlight_green%280+%3C+W+%3C+32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and that: \r<BR>\n" );
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document.write( "the length of this rectangle = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28L+=+32+-+W%29 ALIGN=MIDDLE  ALT=\"highlight_green%28L+=+32+-+W%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, with W, or width being greater than 0. </SPAN>\n" );
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