document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=308517>Question 308517</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden has an area of 2w to the second plus 5w. It has a sidewalk 3 feet wide on all four sides of the garden. The area of the sidewalk is 210 feet. What is the numeric dimensions of 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 #220595 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=220595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A rectangular garden has an area of 2w^2 + 5w.<BR>\n" );
document.write( "L = length, w = width<BR>\n" );
document.write( "L = area/width<BR>\n" );
document.write( "L = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282w%5E2+%2B+5w%29%2Fw ALIGN=MIDDLE  ALT=\"%282w%5E2+%2B+5w%29%2Fw\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "L = 2w + 5<BR>\n" );
document.write( ":<BR>\n" );
document.write( " It has a sidewalk 3 feet wide on all four sides of the garden.<BR>\n" );
document.write( "that adds 6' to each garden dimension<BR>\n" );
document.write( "Overall dimensions<BR>\n" );
document.write( "L = 2w + 5 + 6<BR>\n" );
document.write( "L = 2w + 11<BR>\n" );
document.write( "w = w + 6<BR>\n" );
document.write( "Overall area; <BR>\n" );
document.write( "(2w+11)*(w+6) = 2w^2 + 12w + 11w + 66<BR>\n" );
document.write( "2w^2 + 23w + 66; overall area<BR>\n" );
document.write( ":<BR>\n" );
document.write( " The area of the sidewalk is 210 feet.<BR>\n" );
document.write( "Overall area - garden area = 210<BR>\n" );
document.write( "(2w^2 + 23w + 66) - (2w^2 + 5w) = 210<BR>\n" );
document.write( "Remove brackets combine like terms:<BR>\n" );
document.write( "2w^2 - 2w^2 + 23w - 5w = 210 - 66<BR>\n" );
document.write( "18w = 144<BR>\n" );
document.write( "w = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=144%2F18 ALIGN=MIDDLE  ALT=\"144%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "w = 8<BR>\n" );
document.write( ":<BR>\n" );
document.write( " What is the numeric dimensions of the garden?<BR>\n" );
document.write( "w = 8 ft is the width<BR>\n" );
document.write( "and<BR>\n" );
document.write( "L = 2(w) + 5<BR>\n" );
document.write( "L = 2(8) + 5<BR>\n" );
document.write( "L = 16 + 5<BR>\n" );
document.write( "L = 21 ft is the length<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
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document.write( "Check solution<BR>\n" );
document.write( "(27*14) - (21*8) = 210\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );