document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1144639>Question 1144639</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer planted a trial poppy crop in a rectangular plot 40 metres long and 35 metres wide. The trial was successful, so the next year the farmer decides to increase the poppy plot by a further 1000 square metres. To do this the farmer increases the width of the plot by x metres and the length of the plot by 4x metres.<BR>\n" );
document.write( "a) Draw a diagram with the following information<BR>\n" );
document.write( "b) What is the total area (in m^2) of the larger poppy plot?<BR>\n" );
document.write( "c) Write an equation, in standard quadratic form, to describe the area of the larger poppy plot in terms of x.<BR>\n" );
document.write( "d) Using your equation in part c), apply algebraic techniques to find the dimensions (length and width) of the larger poppy plot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #765840 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=765840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(a) You can draw the diagram....<br><BR>\n" );
document.write( "(b) (40*35)+1000 = 1400+1000 = 2400<br><BR>\n" );
document.write( "(c) (40+4x)(35+x) = 2400<br><BR>\n" );
document.write( "(d)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2840%2B4x%29%2835%2Bx%29+=+2400 ALIGN=MIDDLE  ALT=\"%2840%2B4x%29%2835%2Bx%29+=+2400\"   DISABLED_style= \"max-width:90%; height:auto;\" >  original equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%2Bx%29%2835%2Bx%29+=+600 ALIGN=MIDDLE  ALT=\"%2810%2Bx%29%2835%2Bx%29+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" >    factor out the common factor of 4 from the first expression to keep the numbers smaller<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B45x%2B350+=+600 ALIGN=MIDDLE  ALT=\"x%5E2%2B45x%2B350+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B45x-250+=+0 ALIGN=MIDDLE  ALT=\"x%5E2%2B45x-250+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B50%29%28x-5%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B50%29%28x-5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-50 ALIGN=MIDDLE  ALT=\"x+=+-50\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5 ALIGN=MIDDLE  ALT=\"x+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Clearly the -50 makes no sense in the problem; so x=5.<br><BR>\n" );
document.write( "The dimensions of the large field are<BR>\n" );
document.write( "length: 40+4(5) = 60<BR>\n" );
document.write( "width: 35+5 = 40 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );