document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471395>Question 471395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the perimeter of a rectangle with length, l and width, w is given by P = 2w +21 if the perimeter of the rectangle is 105 feet and the length is 35 feet, what is the width? show all work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323793 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation for the perimeter P of a rectangle is:<BR>\n" );
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document.write( "P = 2*L + 2*W<BR>\n" );
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document.write( "in which L = Length and W = Width. You are told that for a given rectangle P = 105 ft and L = 35 ft and are asked to find W. <BR>\n" );
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document.write( "First, substitute 105 for P and the equation becomes:<BR>\n" );
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document.write( "105 = 2*L + 2*W<BR>\n" );
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document.write( "Then substitute 35 for L, and then the equation becomes:<BR>\n" );
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document.write( "105 = 2*35 + 2*W<BR>\n" );
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document.write( "Do the multiplication in the first term of the right side of this equation. 2 times 35 equals 70 and the equation then is:<BR>\n" );
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document.write( "105 = 70 + 2*W<BR>\n" );
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document.write( "Get rid of the 70 on the right side by subtracting 70 from both sides:<BR>\n" );
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document.write( "105 - 70 = 70 - 70 + 2*W<BR>\n" );
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document.write( "Do the two subtractions. On the left side 105 minus 70 is 35 and on the right side 70 minus 70 is zero. Therefore, the equation is reduced to:<BR>\n" );
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document.write( "35 = 0 + 2*W<BR>\n" );
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document.write( "or just:<BR>\n" );
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document.write( "35 = 2*W<BR>\n" );
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document.write( "Finally, solve for W by dividing both sides of the equation by 2:<BR>\n" );
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document.write( "35/2 = 2*W/2<BR>\n" );
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document.write( "35 divided by 2 is 17 1/2 or 17.5 and 2*W/2 becomes just W. Therefore, the solution for W is just:<BR>\n" );
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document.write( "17.5 = W<BR>\n" );
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document.write( "Transpose (reverse sides) to get the equation in standard form with the unknown on the left and you have:<BR>\n" );
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document.write( "W = 17.5<BR>\n" );
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document.write( "and don't forget to add the units of \"feet\".<BR>\n" );
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document.write( "W = 17.5 feet<BR>\n" );
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document.write( "Hope this helps you to see and understand some of the processes used to solve equations.<BR>\n" );
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