document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156516>Question 156516</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130625604/algebrahomeworkh>Geometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> how do i find the perimeter and area of a rectangle in the coordinate plane:\r<BR>\n" );
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document.write( "L(0,1)M(3,5)N(5,5)P(5,1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115405 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=115405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think instead of:<BR>\n" );
document.write( "L(0,1)M(3,5)N(5,5)P(5,1)<BR>\n" );
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document.write( "you meant:<BR>\n" );
document.write( "L(3,1)M(3,5)N(5,5)P(5,1)<BR>\n" );
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document.write( "It would be best to plot all four points onto graph paper.  Once you do that, it will be easy to see that:<BR>\n" );
document.write( "width of the rectangle is between either:<BR>\n" );
document.write( "LP or MN<BR>\n" );
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document.write( "whereas the length of the rectangle is between either:<BR>\n" );
document.write( "LM or PN<BR>\n" );
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document.write( "Calculating the width.  Let's use:M and N<BR>\n" );
document.write( "M(3,5)N(5,5)<BR>\n" );
document.write( "You can either see the distance visually from the graph or use the distance formula:<BR>\n" );
document.write( "distance = sqrt[(x2-x1)^2 + (y2-y1)^2]<BR>\n" );
document.write( "distance = sqrt[(5-3)^2 + (5-5)^2]<BR>\n" );
document.write( "distance = sqrt[(2)^2 + (0)^2]<BR>\n" );
document.write( "distance = sqrt[4 + 0]<BR>\n" );
document.write( "distance = sqrt[4]<BR>\n" );
document.write( "distance = 2 (width)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Calculating the length.  Let's use:P and N<BR>\n" );
document.write( "P(5,1)N(5,5)<BR>\n" );
document.write( "You can either see the distance visually from the graph or use the distance formula:<BR>\n" );
document.write( "distance = sqrt[(x2-x1)^2 + (y2-y1)^2]<BR>\n" );
document.write( "distance = sqrt[(5-5)^2 + (5-1)^2]<BR>\n" );
document.write( "distance = sqrt[(0)^2 + (4)^2]<BR>\n" );
document.write( "distance = sqrt[0 + 16]<BR>\n" );
document.write( "distance = sqrt[16]<BR>\n" );
document.write( "distance = 4 (length)<BR>\n" );
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document.write( "Perimeter = 2(w+l) = 2(2+4) = 2(6) = 12 units<BR>\n" );
document.write( "area = wl = 2(4) = 8 square units\r<BR>\n" );
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document.write( " </SPAN>\n" );
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