document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=120072>Question 120072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Dear Tutors,\r<BR>\n" );
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document.write( "The question asks:\r<BR>\n" );
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document.write( "The area of a rectangular playground is 2,700 ft2. The length is 3 times the width. What are the dimensions of the play ground? Please help!!!THANKS </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87997 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87997\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we know that the area of a rectangle is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=lw ALIGN=MIDDLE  ALT=\"A=lw\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=lw=2700 ALIGN=MIDDLE  ALT=\"lw=2700\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But we also know that the length, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l ALIGN=MIDDLE  ALT=\"l\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is three times the width <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w ALIGN=MIDDLE  ALT=\"w\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=3w ALIGN=MIDDLE  ALT=\"l=3w\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we can change the first equation to read:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w%2Aw=2700 ALIGN=MIDDLE  ALT=\"3w%2Aw=2700\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w%5E2=2700 ALIGN=MIDDLE  ALT=\"3w%5E2=2700\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w%5E2=900 ALIGN=MIDDLE  ALT=\"w%5E2=900\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take the square root of both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28w%5E2%29=sqrt%28900%29 ALIGN=MIDDLE  ALT=\"sqrt%28w%5E2%29=sqrt%28900%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=30 ALIGN=MIDDLE  ALT=\"w=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-30 ALIGN=MIDDLE  ALT=\"w=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  However, since we are looking for a measure of length, we can exclude the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-30 ALIGN=MIDDLE  ALT=\"w=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > result.\r<BR>\n" );
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document.write( "Since we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=3w ALIGN=MIDDLE  ALT=\"l=3w\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we now know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=l=3%2A30=90 ALIGN=MIDDLE  ALT=\"l=3%2A30=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So the dimensions of the playground are 90 feet by 30 feet.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2A30=2700 ALIGN=MIDDLE  ALT=\"90%2A30=2700\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A30=90 ALIGN=MIDDLE  ALT=\"3%2A30=90\"   DISABLED_style= \"max-width:90%; height:auto;\" >:  Checks!\r<BR>\n" );
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document.write( "Hope that helps.<BR>\n" );
document.write( "John\r<BR>\n" );
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document.write( " </SPAN>\n" );
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