document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966210>Question 966210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A rectangle playground with an area of 900 square feet has a width that is 1/4 of its length.  \r<BR>\n" );
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document.write( "  Write and solve an equation USING SQUARE ROOTS to find the dimensions of the playground. \r<BR>\n" );
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document.write( "    Length _______   Width _______ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590550 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W ALIGN=MIDDLE  ALT=\"W\"   DISABLED_style= \"max-width:90%; height:auto;\" >= width of the playground in feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L ALIGN=MIDDLE  ALT=\"L\"   DISABLED_style= \"max-width:90%; height:auto;\" >= length of the playground in feet.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2AL=900 ALIGN=MIDDLE  ALT=\"W%2AL=900\"   DISABLED_style= \"max-width:90%; height:auto;\" >= area of the playground in square feet.<BR>\n" );
document.write( "The problem states that the width is 1/4 of the length,<BR>\n" );
document.write( "which in formula is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=L%2F4 ALIGN=MIDDLE  ALT=\"W=L%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Since I do not like denominators, I change that into an equivalent equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=L%2F4 ALIGN=MIDDLE  ALT=\"W=L%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W=L ALIGN=MIDDLE  ALT=\"4W=L\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Then, substituting into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2AL=900 ALIGN=MIDDLE  ALT=\"W%2AL=900\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%2A%284W%29=900 ALIGN=MIDDLE  ALT=\"W%2A%284W%29=900\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4W%5E2=900 ALIGN=MIDDLE  ALT=\"4W%5E2=900\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=900%2F4 ALIGN=MIDDLE  ALT=\"W%5E2=900%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W%5E2=225 ALIGN=MIDDLE  ALT=\"W%5E2=225\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=sqrt%28225%29 ALIGN=MIDDLE  ALT=\"W=sqrt%28225%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28W=15%29 ALIGN=MIDDLE  ALT=\"highlight%28W=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "(The other solution for the equation would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=W=-sqrt%28225%29=-15 ALIGN=MIDDLE  ALT=\"W=-sqrt%28225%29=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > , but we are looking for a length, which is a positive number, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=w=-15 ALIGN=MIDDLE  ALT=\"w=-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > is not a solution to the problem).<BR>\n" );
document.write( "Then, substituting the value found into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4W ALIGN=MIDDLE  ALT=\"L=4W\"   DISABLED_style= \"max-width:90%; height:auto;\" > , we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=4%2A15 ALIGN=MIDDLE  ALT=\"L=4%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28L=60%29 ALIGN=MIDDLE  ALT=\"highlight%28L=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Length=60+ft%29 ALIGN=MIDDLE  ALT=\"highlight%28Length=60+ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28Width=15+ft%29 ALIGN=MIDDLE  ALT=\"highlight%28Width=15+ft%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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