The dimensions of square A are three times the dimensions of square B. The area of square B is 324 cm2.
What is the area of square A?
Since the dimensions of square A are three times the dimensions of square B, we can say that the side length of square A is 3 times the side length of square B. Let x be the side length of square B.
Therefore, the side length of square A would be 3x.
The area of a square is calculated by squaring the length of one of its sides. So, the area of square B is x^2 = 324 cm^2.
Solving for x, we find:
x = √324
x = 18 cm
Therefore, the side length of square B is 18 cm, and the side length of square A is 3 * 18 = 54 cm.
The area of square A is (54)^2 = 2916 cm^2.
So, the area of square A is 2916 cm^2.