Question

The area of a rectangle is 24. The length is a prime number. The width is divisible by 6. What could the dimensions be?

A) Length: 3, Width: 8
B) Length: 5, Width: 4
C) Length: 7, Width: 3
D) Length: 11, Width: 2

Answer 1

The correct dimensions of the rectangle considering the given conditions are Length: 7 and Width: 3, where 7 is a prime number and 3 is divisible by 6.

Step-by-step explanation:

The question deals with finding the dimensions of a rectangle given that the area is 24, the length is a prime number and the width is divisible by 6. To solve this, we should look for a pair of factors of 24 which satisfy these conditions.

• For option A (Length: 3, Width: 8): 3 is a prime number but 8 is not divisible by 6.
• For option B (Length: 5, Width: 4): 5 is a prime number but 4 is not divisible by 6.
• For option C (Length: 7, Width: 3): 7 is a prime number and 3 is both a factor of 24 and divisible by 6.
• For option D (Length: 11, Width: 2): 11 is a prime number but 2 is not divisible by 6.

Thus, the correct dimensions that would satisfy the conditions provided in the question are Length: 7 and Width: 3.