Final answer:
The perimeter of the square base of the pyramid is 162.04 units, calculated by finding the square root of the given area (1641) to determine the side length and then multiplying by 4.
Step-by-step explanation:
The student is asking for the perimeter of a square base of a pyramid when given the area of the base. The area of the square base is 1641 square units. Since the area of a square is found by squaring the length of one of its sides (Area = side × side), we can find the side length by taking the square root of the area. So, the side length is the square root of 1641, which is approximately 40.51 units. The perimeter of a square is the sum of all its sides, which is 4 times the length of one side (Perimeter = 4 × side). Therefore, the perimeter of the base is 4 × 40.51, which equals 162.04 units.