Find the perimeter of a square with a side length of 2√ 27. Your answer must be in simplest radical form.
A. 8√ 27
B. 4√ 27
C. 24√ 3
D. 12√ 3
To find the perimeter of a square, you need to multiply the side length by 4 since all sides of a square are equal.
The side length of the square is given as 2√27. Multiplying this by 4 gives us:
4(2√27) = 8√27
Simplifying the expression inside the radical, we have:
8√(9*3)
Taking the square root of 9 gives us:
8√(3*3)
So, the final answer is:
8(3) = 24
Therefore, the perimeter of the square is 24√3.
The correct answer is C. 24√3.