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Subject Test Math 1

Question 22 of 32

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SAT Subject Test

Marigolds are to be planted inside a circular flower garden so that there are 4 marigolds per square foot. The circumference of the garden is 20 feet. If marigolds are available only in packs of 6, how many packs of 6 flowers are needed?

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6

Correct Answer: 
No

13

Correct Answer: 
No

14

Correct Answer: 
No

20

Correct Answer: 
No

22

Correct Answer: 
Yes

The first step is to determine the area of the garden. Since the circumference is 20 feet, the radius is fraction numerator 20 over denominator 2 pi end fraction equals fraction numerator 10 over denominator pi end fraction and the area is pi r to the power of 2 end exponent or pi left parenthesis fraction numerator 10 over denominator pi end fraction right parenthesis to the power of 2 end exponent equals fraction numerator 100 over denominator pi end fraction square feet. If there are 4 marigolds per square foot, 4 times fraction numerator 100 over denominator pi end fraction marigolds are needed. To find out how many packs of 6 flowers are needed, divide fraction numerator 400 over denominator pi end fraction by 6. The result is 21.22; thus, 22 packs would be needed. The correct answer is E.

Question Difficulty: 
hard