document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193348>Question 1193348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A soccer field has a perimeter of 288 meters and an area of 4,860 square meters. What are the dimensions of the field? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825355 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=825355\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "L = length<BR>\n" );
document.write( "W = width\r<BR>\n" );
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document.write( "P = perimeter of a rectangle<BR>\n" );
document.write( "P = 2(L+W)<BR>\n" );
document.write( "2(L+W) = P<BR>\n" );
document.write( "2(L+W) = 288<BR>\n" );
document.write( "L+W = 288/2<BR>\n" );
document.write( "L+W = 144<BR>\n" );
document.write( "L = 144-W\r<BR>\n" );
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document.write( "area of a rectangle = length*width<BR>\n" );
document.write( "A = L*W<BR>\n" );
document.write( "L*W = A<BR>\n" );
document.write( "(144-W)*W = 4860<BR>\n" );
document.write( "144W - W^2 = 4860<BR>\n" );
document.write( "0 = W^2 - 144W + 4860<BR>\n" );
document.write( "W^2 - 144W + 4860 = 0\r<BR>\n" );
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document.write( "Use the quadratic formula to solve for W<BR>\n" );
document.write( "Plug in a = 1, b = -144, c = 4860<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"W+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28-%28-144%29%2B-sqrt%28%28-144%29%5E2-4%281%29%284860%29%29%29%2F%282%281%29%29 ALIGN=MIDDLE  ALT=\"W+=+%28-%28-144%29%2B-sqrt%28%28-144%29%5E2-4%281%29%284860%29%29%29%2F%282%281%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28144%2B-sqrt%281296%29%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28144%2B-sqrt%281296%29%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28144%2B-+++36%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28144%2B-+++36%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28144%2B36%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28144%2B36%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28144-36%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28144-36%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28180%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28180%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+%28108%29%2F%282%29 ALIGN=MIDDLE  ALT=\"W+=+%28108%29%2F%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+90 ALIGN=MIDDLE  ALT=\"W+=+90\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W+=+54 ALIGN=MIDDLE  ALT=\"W+=+54\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If W = 90, then L = 144-W = 144-90 = 54<BR>\n" );
document.write( "If W = 54, then L = 144-W = 144-54 = 90<BR>\n" );
document.write( "Either way we get the values 54 and 90 in either order.\r<BR>\n" );
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document.write( "This shows that the order of L and W doesn't matter.<BR>\n" );
document.write( "Typically L is larger than W, but it's simply a style choice than anything.\r<BR>\n" );
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document.write( "<font color=red>Answer: The rectangular field is 90 meters by 54 meters</font>\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "area = L*W = 90*54 = 4860 square meters<BR>\n" );
document.write( "perimeter = 2(L+W) = 2*(90+54) = 288 meters<BR>\n" );
document.write( "The answer is fully confirmed.<BR>\n" );
document.write( "</font>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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