document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=632566>Question 632566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I decide to take up alpaca farming. I will build an alpaca pan to my house. (since it is next to my house, i don't need any fencing on the side where my house is. My house is huge so I don't have to worry about that side being too short.) I have 800 feet of fencing. I am going to make a rectangular fence.\r<BR>\n" );
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document.write( "A. If I want the pen to have an area of 15,200 sq feet, what should the dimensions be?\r<BR>\n" );
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document.write( "B. If i want the pen to have an area of 100,000 sq feet, what should the dimensions be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398391 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I will build an alpaca pen next to my house. <BR>\n" );
document.write( "(since it is next to my house, i don't need any fencing on the side where my house is.<BR>\n" );
document.write( " My house is huge so I don't have to worry about that side being too short.)<BR>\n" );
document.write( " I have 800 feet of fencing. I am going to make a rectangular fence.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A. If I want the pen to have an area of 15,200 sq feet, what should the dimensions be?<BR>\n" );
document.write( "Let L = the length of the pen<BR>\n" );
document.write( "Let W = the width<BR>\n" );
document.write( "one length is the house, the length of the fence required will be:<BR>\n" );
document.write( "L + 2W = 800<BR>\n" );
document.write( "L = (800-2W)<BR>\n" );
document.write( "The area: L * W = 15200<BR>\n" );
document.write( "Replace L with (800-2W)<BR>\n" );
document.write( "W(800-2W) = 15200<BR>\n" );
document.write( "-2W^2 + 800W = 15200<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "0 = 2W^2 - 800W + 15200<BR>\n" );
document.write( "You can use the quadratic formula here but this will factor to<BR>\n" );
document.write( "(2W - 40)(W - 380) = 0<BR>\n" );
document.write( "Two solutions<BR>\n" );
document.write( "2W = 40<BR>\n" );
document.write( "W = 20<BR>\n" );
document.write( "Use this as the width, then <BR>\n" );
document.write( "800-2(20) = 760 is the length<BR>\n" );
document.write( "(If that is longer than your house, you can use 380 as the width then<BR>\n" );
document.write( "800-2(380) = 40 is the length)<BR>\n" );
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document.write( "B. If i want the pen to have an area of 100,000 sq feet, what should the dimensions be?<BR>\n" );
document.write( "With 800 ft of fencing it is not possible to enclose 100000 sq/ft<BR>\n" );
document.write( "Max area is 80000 sq/ft with a dimension of a 400 by 200 ft pen </SPAN>\n" );
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