The product of the areas of two rectangular rugs is 84. If each of the dimensions is a prime number, what are the four dimensions?

A. 2, 3, 3, 7

B. 3, 3, 4, 7

C. 2, 2, 3, 3

D. 2, 2, 3, 7

Answer:Option D, (2, 2, 3, 7) is the right answer.

Step-by-step explanation:

The product of the areas of two rectangular rugs = 84

Given each of the dimensions is a prime number.

Of the given options, all the oprions consists of prime numbers. Therefore we have to multiply all the sides to check if they are equal to 84

Option A = 2, 3, 3, 7 = 126

Option B = 3, 3, 4, 7 = 257

Option C = 2, 2, 3, 3 = 36

Option D = 2, 2, 3, 7 = 84

Comparing the options, Option D, 2, 2, 3, 7 is the right answer.