The dimensions of square A are three times the dimensions of square B. The area of square A is 2,916cm2.

What is the area of square B?

Let x be the dimensions of square B.

Since square A is three times the dimensions of square B, the dimensions of square A would be 3x.

The area of square A is given as 2,916cm^2:

(3x)^2 = 2,916
9x^2 = 2,916
x^2 = 324
x = 18

Now, we can find the area of square B:
Area of square B = x^2 = 18^2 = 324 cm^2

Therefore, the area of square B is 324 cm^2.