document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203573>Question 203573</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50.<BR>\n" );
document.write( "a)	Set up an equation for the perimeter involving only L, the length of the rectangle.<BR>\n" );
document.write( "	Answer:  <BR>\n" );
document.write( "b)	Solve this equation algebraically to find the length of the rectangle. Find the width as well.\r<BR>\n" );
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document.write( "2.5x+4y=12 for y<BR>\n" );
document.write( "	Answer:<BR>\n" );
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document.write( "Show your work here:<BR>\n" );
document.write( "	b)	When graphed, this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line?<BR>\n" );
document.write( "	Slope = ______<BR>\n" );
document.write( "	Y-intercept = _____<BR>\n" );
document.write( "	c)	Using your answer from part a, find the corresponding value of y when x = 16.  \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153595 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=153595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.Suppose that the width of a rectangle is 5 inches shorter than the length and that the perimeter of the rectangle is 50.<BR>\n" );
document.write( "a) Set up an equation for the perimeter involving only L, the length of the rectangle.<BR>\n" );
document.write( "Let length be L ; then width = L-5<BR>\n" );
document.write( "Perimeter = 2(length + width)<BR>\n" );
document.write( "Answer: P(L) = 2(L + L-5) = 2(2L-5) = 4L-10 inches<BR>\n" );
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document.write( "b) Solve this equation algebraically to find the length of the rectangle. Find the width as well.<BR>\n" );
document.write( "4L-10 = P<BR>\n" );
document.write( "L = (P+10)/4<BR>\n" );
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document.write( "2.5x+4y=12 for y<BR>\n" );
document.write( "4y = -5x + 12<BR>\n" );
document.write( "Answer: y = (-5/4)x + 3\r<BR>\n" );
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document.write( "Show your work here:<BR>\n" );
document.write( "b) When graphed, this equation would be a line. By examining your answer to part a, what is the slope and y-intercept of this line?<BR>\n" );
document.write( "Slope = -5/4______<BR>\n" );
document.write( "Y-intercept = 3<BR>\n" );
document.write( "----_____<BR>\n" );
document.write( "c) Using your answer from part a, find the corresponding value of y when x = 16. <BR>\n" );
document.write( "y = (-5/4)*16 + 3<BR>\n" );
document.write( "y = -20 + 3<BR>\n" );
document.write( "y = -17<BR>\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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