The area of a square room in square units can be represented by 169x2y4. what is the perimeter of the room

Area = 169x²y⁴         Area of square = s²

s² = 169x²y⁴

s = √169x²y⁴

s = 13xy²

Perimeter = 4s  = 4*13xy² = 52xy²

We are given with the area of the room given as 169 x2 y4. The side of the square room is obtained from the square root of area. Hence sq.rt of 169 x2 y4 is 13 xy. There are four equal sides of square, thus the perimeter is four times the side. The perimeter is 52xy.