Question 86090
First lets find the area of the triangle


The area of a triangle can be found by this formula:


{{{Area=(base*height)/2}}}


So if we have this trangle


{{{drawing( 500, 500, -4, 6, -4, 6,
  locate( -2, 3, height=200 ), 
  locate( 1, -.5, base=300 ), 
  line(0,0,0,5),
  line(0,5,5,0),
  line(5,0,0,0)
 )}}}


We can clearly see that the base is 300 feet and the height is 200 feet

Now to find the area of this triangle, plug in base=300, height=200


{{{Area=(300*200)/2}}}


{{{Area=(60000)/2}}} Multiply 300 and 200 to get 60,000


{{{Area=30000}}} Divide 60,000 by 2 to get 30,000


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



{{{36/12=x/30000}}} Start with the proportion where x is the number of flowers in a 30,000 square foot area


{{{30000(36/12)=cross(30000)(x/cross(30000))}}} Multiply both sides by 30,000



{{{30000*36/12=x}}} Multiply


{{{1080000/12=x}}} Multiply


{{{90000=x}}} Divide


So {{{x=90000}}}


This means there are 90,000 flowers in the 30,000 square foot patch