document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208615>Question 208615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables.\r<BR>\n" );
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document.write( "The perimeter of a rectangle is 48 cm. The length is 12 cm longer than the width. Find the dimensions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157834 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=157834\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let l be the length and w be the width.  We know that perimeter is 48 so in equations this would be l + w =48 so that will be our first equation.  We also know that the length of is 12 cm longer than the width.  In equations this would be l = 12+w, which is our second equation. <br>\r<BR>\n" );
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document.write( "so our system is <br>\r<BR>\n" );
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document.write( "l + w = 48<BR>\n" );
document.write( "l = 12 + w <br>\r<BR>\n" );
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document.write( "So since we have an expression for l we can use the substitution method and plug equation 2 into equation 1 and solve for width. <br>\r<BR>\n" );
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document.write( "l + w = 48<BR>\n" );
document.write( "12 + w + w = 48<BR>\n" );
document.write( "12 + 2w = 48<BR>\n" );
document.write( "2w = 36<BR>\n" );
document.write( "w = 18 cm <br>\r<BR>\n" );
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document.write( "so we know the width is 18 centimeters.  Now we plug that back into equation 2 and find the length. <br>\r<BR>\n" );
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document.write( "l = 12 + w<BR>\n" );
document.write( "l = 12 + 18<BR>\n" );
document.write( "l = 30 cm <br>\r<BR>\n" );
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document.write( "so we know that the width is 18 centimeters and the length is 30 centimeters and checking that does give us a perimeter of 48 centimeters so that checks. </SPAN>\n" );
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