document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107364>Question 1107364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pool measuring <BR>\n" );
document.write( "20 meters by <BR>\n" );
document.write( "28 meters is surrounded by a path of uniform&#8203; width, as shown in the figure. If the area of the pool and the path combined is <BR>\n" );
document.write( "1748 square&#8203; meters, what is the width of the&#8203; path? The width of the outside the sidewalk is 20+2x by 20+2x<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722403 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52866)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A pool measuring <BR>\n" );
document.write( "20 meters by <BR>\n" );
document.write( "28 meters is surrounded by a path of uniform&#8203; width, as shown in the figure. If the area of the pool and the path combined is <BR>\n" );
document.write( "1748 square&#8203; meters, what is the width of the&#8203; path? The width of the outside the sidewalk is 20+2x by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%2820%2B2x%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%2820%2B2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (28+2x).<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "          Notice that your writing was not exactly correct, so I fixed it . . . \r\n" );
document.write( "</PRE>\r<BR>\n" );
document.write( "\n" );
document.write( "Based on all the array of info (data + hint/instruction + my correction) your equation is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(20+2x)*(28+2x) = 1748.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Simplify and solve this quadratic equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "560 + 56x + 40x + 4x^2 = 1748\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2 + 96x -1748 + 560 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "4x^2 + 96x - 1188 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "x^2 + 24x - 297 = 0\r<BR>\n" );
document.write( "\n" );
document.write( "(x+33)*(x-9) = 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The only positive solution is &nbsp;x = 9.<BR>\n" );
document.write( "</pre>\r<BR>\n" );
document.write( "\n" );
document.write( "<U>Answer</U>.  &nbsp;&nbsp;The path width is &nbsp;9&nbsp; meters.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<U>Check</U>.   &nbsp;&nbsp;&nbsp;&nbsp;Check it on your own.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-----------------<BR>\n" );
document.write( "To see other similar solved problems, see the lesson\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Surface-area/Problems-on-the-area-of-a-rectangle-surrounded-by-a-strip.lesson>Problems on the area and the dimensions of a rectangle surrounded by a strip</A>\r<BR>\n" );
document.write( "\n" );
document.write( "in this site.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
document.write( "\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The referred lesson is the part of this online textbook under the topic <BR>\n" );
document.write( "\"<U>Dimensions and the area of rectangles and circles and their elements</U>\".\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Free of charge online textbook in ALGEBRA-I<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to your archive and use it when it is needed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );