document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=778633>Question 778633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I never received a confirmation email about my question so here it is again: \r<BR>\n" );
document.write( "\n" );
document.write( "A particular rectangular swimming pool is twice as long as it is wide. There is a concrete walkway around the perimeter of the pool. The walkway is a constant 2 feet wide. The walkway has an area of 100 square feet. What are the dimensions of the pool? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474862 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=474862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A particular rectangular swimming pool is twice as long as it is wide.<BR>\n" );
document.write( " There is a concrete walkway around the perimeter of the pool.<BR>\n" );
document.write( " The walkway is a constant 2 feet wide.<BR>\n" );
document.write( " The walkway has an area of 100 square feet.<BR>\n" );
document.write( " What are the dimensions of the pool?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "let L = the length of the pool<BR>\n" );
document.write( "let w = the width<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A 2 ft walkway adds 4 ft to the length & width giving us the overall dimensions<BR>\n" );
document.write( "Overall area - pool area = 100 sq ft, (area of the walkway)<BR>\n" );
document.write( "(L+4)(w+4) - L*W = 100<BR>\n" );
document.write( "L = 2w, replace L with 2w<BR>\n" );
document.write( "(2w+4)(w+4) = 2w*w = 100<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "2w^2 + 8w + 4w + 16 - 2w^2 = 100<BR>\n" );
document.write( "the 2w^2's cancel leaving us with<BR>\n" );
document.write( "12w = 100 - 16<BR>\n" );
document.write( "12w = 84<BR>\n" );
document.write( "w = 84/12<BR>\n" );
document.write( "w = 7 ft is the width of the pool<BR>\n" );
document.write( "therefore<BR>\n" );
document.write( "2(7) = 14 ft is the length of the pool<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if this checks out, find the overall area and the area of the pool<BR>\n" );
document.write( "18*11 = 198<BR>\n" );
document.write( "14*7  = 98<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "diff: 100 sq/ft, the area of the walkway </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );