Answer: Let the radius of the small circular rug be x. Then the area of the small circular rug is given by:
A = πx^2
The radius of the large circular rug is 3 times the radius of the small rug, which means its radius is 3x. The area of the large circular rug is given by:
A = π(3x)^2 = 9πx^2
Therefore, the expression for the area of the small rug in terms of x is:
A = πx^2
Explanation: