document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86090>Question 86090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+6%2C+-4%2C+6%2C%0D%0A++locate%28+-2%2C+3%2C+200+%29%2C+%0D%0A++locate%28+1%2C+-.5%2C+300+%29%2C+%0D%0A++line%280%2C0%2C0%2C5%29%2C%0D%0A++line%280%2C5%2C5%2C0%29%2C%0D%0A++line%285%2C0%2C0%2C0%29%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The diagram shows the dimensions of a triangular field next to a<BR>\n" );
document.write( "school. To estimate the number of wildflowers growing in the field,<BR>\n" );
document.write( "students counted a total of 36 flowers in a randomly selected<BR>\n" );
document.write( "3-feet-by-4-feet rectangular section. Assuming the section is a<BR>\n" );
document.write( "representative sample of the entire field, approximately how many<BR>\n" );
document.write( "flowers are in the entire field?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62203 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=62203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First lets find the area of the triangle\r<BR>\n" );
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document.write( "The area of a triangle can be found by this formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%28base%2Aheight%29%2F2 ALIGN=MIDDLE  ALT=\"Area=%28base%2Aheight%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So if we have this trangle\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-4%2C+6%2C+-4%2C+6%2C%0D%0A++locate%28+-2%2C+3%2C+height=200+%29%2C+%0D%0A++locate%28+1%2C+-.5%2C+base=300+%29%2C+%0D%0A++line%280%2C0%2C0%2C5%29%2C%0D%0A++line%280%2C5%2C5%2C0%29%2C%0D%0A++line%285%2C0%2C0%2C0%29%0D%0A+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can clearly see that the base is 300 feet and the height is 200 feet\r<BR>\n" );
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document.write( "Now to find the area of this triangle, plug in base=300, height=200\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=%28300%2A200%29%2F2 ALIGN=MIDDLE  ALT=\"Area=%28300%2A200%29%2F2\"   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=Area=%2860000%29%2F2 ALIGN=MIDDLE  ALT=\"Area=%2860000%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 300 and 200 to get 60,000\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Area=30000 ALIGN=MIDDLE  ALT=\"Area=30000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide 60,000 by 2 to get 30,000\r<BR>\n" );
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document.write( "Now since there are an average of 36 flowers in a 3 by 4 foot patch (which is 12 square feet), we can find the rough estimate of how many flowers are in the whole patch. If there are 36 flowers for every 12 square feet, we can set up a proportion (or ratio) to find the number of flowers there are for 30,000 square feet\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F12=x%2F30000 ALIGN=MIDDLE  ALT=\"36%2F12=x%2F30000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the proportion where x is the number of flowers in a 30,000 square foot area\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30000%2836%2F12%29=cross%2830000%29%28x%2Fcross%2830000%29%29 ALIGN=MIDDLE  ALT=\"30000%2836%2F12%29=cross%2830000%29%28x%2Fcross%2830000%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 30,000\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30000%2A36%2F12=x ALIGN=MIDDLE  ALT=\"30000%2A36%2F12=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1080000%2F12=x ALIGN=MIDDLE  ALT=\"1080000%2F12=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90000=x ALIGN=MIDDLE  ALT=\"90000=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=90000 ALIGN=MIDDLE  ALT=\"x=90000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This means there are 90,000 flowers in the 30,000 square foot patch\r<BR>\n" );
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