document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=313588>Question 313588</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 13. Mr Fu asked a garden designer to make a square flower bed. The cost for paving the border of the flower bed is $20 per metre. The cost of the flowers and soil in the flower bed is $60 per metre^2. If the total cost of making the flower bed is $3500, find the length of a side of the flower bed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #224244 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=224244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Mr Fu asked a garden designer to make a square flower bed.<BR>\n" );
document.write( " The cost for paving the border of the flower bed is $20 per metre.<BR>\n" );
document.write( " The cost of the flowers and soil in the flower bed is $60 per metre^2.<BR>\n" );
document.write( " If the total cost of making the flower bed is $3500, find the length of a side of the flower bed.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = length of the side of the flower bed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "60x^2 = cost of the flower bed<BR>\n" );
document.write( "and<BR>\n" );
document.write( "20(4x) = 80x = cost of the border<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Bed cost + border cost = total cost<BR>\n" );
document.write( "60x^2 + 80x = 3500<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "60x^2 + 80x - 3500 = 0<BR>\n" );
document.write( "Simplify divide by 20, results:<BR>\n" );
document.write( "3x^2 + 4x - 175 = 0<BR>\n" );
document.write( "Factor this to<BR>\n" );
document.write( "(3x + 25)(x - 7) = 0<BR>\n" );
document.write( "positive solution<BR>\n" );
document.write( "x = 7 meters side of the garden<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the cost<BR>\n" );
document.write( "60(7^2) = 2940<BR>\n" );
document.write( "20(4*7) =  560<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "total$: 3500 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );