document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=125035>Question 125035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Translate the following into a quadratic equation, and solve it:\r<BR>\n" );
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document.write( "the length of a rectangluar garden is three times its width; if the area of the garden is 75 square meters, what are the dimensions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91656 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=91656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = width<BR>\n" );
document.write( "3x = length\r<BR>\n" );
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document.write( "Area = Length X Width, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3x%2Ax=3x%5E2 ALIGN=MIDDLE  ALT=\"A=3x%2Ax=3x%5E2\"   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=3x%5E2=75 ALIGN=MIDDLE  ALT=\"3x%5E2=75\"   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=x%5E2=25 ALIGN=MIDDLE  ALT=\"x%5E2=25\"   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=red%28x%5E2-25=0%29 ALIGN=MIDDLE  ALT=\"red%28x%5E2-25=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is your quadratic equation in standard form.\r<BR>\n" );
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document.write( "Factors to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B5%29%28x-5%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B5%29%28x-5%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5 ALIGN=MIDDLE  ALT=\"x=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The negative result doesn't make much sense in terms of the dimensions of a rectangle, so we can exclude that root.  The width of the rectangle is therefore 5 meters, and the length is 3 * 5 =15 meters. </SPAN>\n" );
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