document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67338>Question 67338</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808672/algebrahomeworkh>Prentice Hill Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> You are planning a rectangular garden.  Its length is twice its width.  You want a walkway 2 ft wide around the garden.<BR>\n" );
document.write( "a.Write an expression for the area of the garden and walk.<BR>\n" );
document.write( "b.Write an expression for the area of the walk only.<BR>\n" );
document.write( "c.You have enough gravel to cover 76 ft^2(squared) and want to use it all on the walk.  How big should you make the garden? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47895 by </B><A HREF=/tutors/aboutme.mpl?userid=raghu_pratoori><B>raghu_pratoori(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=raghu_pratoori><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let width(w)of rectangular garden be xft.<BR>\n" );
document.write( "therefore length(l) of garden=2xft<BR>\n" );
document.write( "a.l of garden and walk=(2x+2)ft<BR>\n" );
document.write( "  w of garden and walk=(x+2)ft<BR>\n" );
document.write( "  area of garden and walk=(2x+2)(x+2)=2x^2+2x+4x+4=(2x^2+6x+4)ft^2<BR>\n" );
document.write( "b.area of only walk=area of garden and walk-area of garden <BR>\n" );
document.write( "  area of garden=(x)(2x)=2x^2ft^2<BR>\n" );
document.write( "  area of only walk=(2x^2+6x+4)-2x^2=2x^2+6x+4-2x^2=(6x+4)ft^2<BR>\n" );
document.write( "c.area of gravel=76ft^2<BR>\n" );
document.write( "  area of only walk=76ft^2<BR>\n" );
document.write( "  6x+4=76<BR>\n" );
document.write( "  6x=72<BR>\n" );
document.write( "  x=12ft<BR>\n" );
document.write( "  l=2x=2*12=24ft<BR>\n" );
document.write( "  w=x=12ft<BR>\n" );
document.write( "  area of garden=24*12=288ft^2 <BR>\n" );
document.write( "  therefore the garden should be of 288ft^2. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );