document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008812>Question 1008812</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.A police officer is investigating a crime which occurred in a rectangular field next to a building.  He wants to seal the three sides of the area around the scene with 300 m of yellow police tape.  What is the maximum area that he can enclose and what are the dimensions of this area? (Hint: Draw a picture and introduce a variable x for the width…think about an expression for the length in terms of x) (6 marks)\r<BR>\n" );
document.write( "\n" );
document.write( "PLEASE ANSWER FULL QUESTION GRADE 11 MATH!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624573 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=624573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> He wants to seal the three sides of the area around the scene with 300 m of yellow police tape.<BR>\n" );
document.write( " What is the maximum area that he can enclose and what are the dimensions of this area?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let L = the length and x = the width of the rectangle<BR>\n" );
document.write( "then because 3 sides are what is needed, therefore:<BR>\n" );
document.write( "L + 2x = 300<BR>\n" );
document.write( "L = (-2x+300), use this form for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area = L * x<BR>\n" );
document.write( "Replace L<BR>\n" );
document.write( "A = x(-2x+300)<BR>\n" );
document.write( "A = -2x^2 + 300x<BR>\n" );
document.write( "Maximum area occurs at the axis of symmetry, x = -b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-300%29%2F%282%2A-2%29 ALIGN=MIDDLE  ALT=\"%28-300%29%2F%282%2A-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +75 is width<BR>\n" );
document.write( "then <BR>\n" );
document.write( "L = -2(75) + 300<BR>\n" );
document.write( "L = 150 is the length<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the area: 150 * 75 = 11250 sq meters is max area </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );