SOLUTION: {{{drawing( 300, 300, -4, 6, -4, 6, locate( -2, 3, 200 ), locate( 1, -.5, 300 ), line(0,0,0,5), line(0,5,5,0), line(5,0,0,0) )}}} The diagram shows the dime

Question 86090:

The diagram shows the dimensions of a triangular field next to a
school. To estimate the number of wildflowers growing in the field,
students counted a total of 36 flowers in a randomly selected
3-feet-by-4-feet rectangular section. Assuming the section is a
representative sample of the entire field, approximately how many
flowers are in the entire field?

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First lets find the area of the triangle

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

So if we have this trangle

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

Multiply 300 and 200 to get 60,000

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

Start with the proportion where x is the number of flowers in a 30,000 square foot area

Multiply both sides by 30,000

Multiply

Multiply

Divide

So

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

RELATED QUESTIONS
In the figure below, AXC and BXD are arcs with centers B and A respectively. ABCD is a... (answered by Edwin McCravy)

Find the length of side x. Round to the nearest tenth.... (answered by Theo,mccravyedwin)

In the figure below, ADC is a chord of a circle centre O and passing through the points... (answered by ikleyn,Edwin McCravy)

Find the area of region ABCD in cm^2 if the radius of the circle is 2 cm and both AB and... (answered by Edwin McCravy,ikleyn,greenestamps,math_tutor2020)

Find the number of paths from A to B, moving up and right only. Notice that two lines... (answered by greenestamps,Edwin McCravy)

using the number line locate each value below it. {}=square root of number in it (answered by CubeyThePenguin)

The radius of the large semicircle is 2cm. What is the radius of the small semicircle? (answered by Edwin McCravy)

In the rectangle below,AC has a length of 28. What is the length of ED If necessary,... (answered by AnlytcPhil)

Suppose 𝑋1, 𝑋2, . . . is a discrete time Markov chain with the set of state spaces... (answered by ElectricPavlov)