Subject Test Math 1

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Subject Test Math 1

Question 22 of 32

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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

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The first step is to determine the area of the garden. Since the circumference is $20$ feet, the radius is $\frac{20}{2 π} = \frac{10}{π}$ and the area is $π r^{2}$ or $π {(\frac{10}{π})}^{2} = \frac{100}{π}$ square feet. If there are $4$ marigolds per square foot, $4 \cdot \frac{100}{π}$ marigolds are needed. To find out how many packs of $6$ flowers are needed, divide $\frac{400}{π}$ by $6$ . The result is $21.22$ ; thus, $22$ packs would be needed. The correct answer is E.