document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149942>Question 149942</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131953648/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80.<BR>\n" );
document.write( "a)	Set up an equation for the perimeter involving only L, the length of the rectangle.<BR>\n" );
document.write( "b)	Solve this equation algebraically to find the length of the rectangle. Find the width as well. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110046 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=110046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the width of a rectangle is 2 inches shorter than the length and that the perimeter of the rectangle is 80.<BR>\n" );
document.write( "a)	Set up an equation for the perimeter involving only L, the length of the rectangle.<BR>\n" );
document.write( "b)	Solve this equation algebraically to find the length of the rectangle. Find the width as well.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let L = length of rectangle<BR>\n" );
document.write( "L-2 = width of rectangle<BR>\n" );
document.write( ". <BR>\n" );
document.write( "Since the perimeter is twice the \"length + width\" we have:<BR>\n" );
document.write( "2(L + L - 2) = 80  (solution for a)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "solving for L:<BR>\n" );
document.write( "2(L + L - 2) = 80<BR>\n" );
document.write( "(2L - 2) = 40<BR>\n" );
document.write( "2(L - 1) = 40<BR>\n" );
document.write( "L - 1 = 20<BR>\n" );
document.write( "L = 21 inches (solution for b -- length of rectangle)<BR>\n" );
document.write( "L-2 = 19 inches (solution for b -- width of rectangle) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );