SOLUTION: The diagram shows the dimensions of a triangle field next to a school. to estimate the number of wildflowers growing in the field, students counted a total of 36 flowers in a rando

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Question 291886: The diagram shows the dimensions of a triangle 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?
P.S. They give you a triangle that's a 30,60,90 triangle with a base of 300 ft, the height of 200 ft, but no hypotenuse
Found 2 solutions by richwmiller, Alan3354:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
We don't need the hypotenuse.
We want the area of the triangle which is 1/2*base times height.
the area of the 3*4 rectangle of flowers is 12 sq ft.
we wan to know how many times 12 sq ft fit in the triangle.
1/2*300*400=300*200=60 000
now divide 60 000 by 12
5000 times 36 is the number of flowers in the triangular field.
36*5000=180 000 flowers

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
200 and 300 foot sides do not make a 30, 60, 90 triangle.