The width of a swimming pool (in feet) is a prime number greater than 10. The width and length of the pool are factors of 408. What is the width of the pool?

17 feets

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19 feets

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11 feets

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13 feets

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Solution

The correct option is A 17 feets
Given, the width of the pool is a prime number greater than 10.
And, the width and length of the pool are factors of 408.

Prime factorisation of $408 = 2 \times 2 \times 2 \times 3 \times 17$
The width of the pool is a prime number greater than 10 and is a factor of 408. The only prime number which is greater than 10 and a factor of 408 is 17.
Therefore, width of the pool = 17 feets

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