Final answer:
The area of the square room is represented by 169x^2y^4, and the perimeter is 52xy^2.
Step-by-step explanation:
The area of a square room is given by side length squared. In this case, the area is represented by 169x^2y^4. Therefore, the side length of the square is sqrt(169x^2y^4) = sqrt((13x)^2 * (y^2)^2). So, the side length of the square is 13x * y^2.
The perimeter of a square is calculated by multiplying the side length by 4. In this case, the perimeter of the square is 4 * (13x * y^2) = 52xy^2.
Thus, the correct answer is 52|x|y² units.
Learn more about Area and perimeter of a square