Find the perimeter of a square with a side length of 2√27. Your answer must be in simplest radical form.
Responses
8√27
8 square root of 27
4√27
4 square root of 27
12√3
12 square root of 3
24√3
To find the perimeter of a square, we need to multiply the length of one side by 4 since all sides of a square are equal.
Given that the side length is 2√27, the perimeter of the square would be:
4(2√27) = 8√27.
Therefore, the correct response is 8√27.
To find the perimeter of a square, you need to add up the lengths of all four sides.
Given that the side length of the square is 2√27, the perimeter can be found by multiplying the side length by 4 since all sides of a square are equal.
4 * 2√27 = 8√27
Therefore, the perimeter of the square with a side length of 2√27 in simplest radical form is 8√27.
To find the perimeter of a square, you need to add up the lengths of all four sides. In this case, the side length of the square is given as 2√27.
Since the square has four equal sides, you can find the perimeter by multiplying the side length by 4. Therefore, the perimeter of this square would be:
4 * 2√27 = 8√27
However, we are asked to provide the answer in simplest radical form. To simplify the radical, we need to identify any perfect square factors within the square root.
In this case, √27 can be simplified to √(9 * 3), and since 9 is a perfect square (3^2), we can simplify it further:
8√(9 * 3) = 8 * 3√3 = 24√3
Therefore, the perimeter of the square with a side length of 2√27 in simplest radical form is 24√3.