Find the perimeter of a square with a side length of 2sqrt(12) Your answer must be in simplest radical form (point )

1 answer

To find the perimeter of a square, we use the formula:

\[ \text{Perimeter} = 4 \times \text{side length} \]

Given that the side length of the square is \( 2\sqrt{12} \), we can substitute this value into the formula:

\[ \text{Perimeter} = 4 \times (2\sqrt{12}) \]

Calculating the multiplication:

\[ \text{Perimeter} = 8\sqrt{12} \]

Next, we simplify \( \sqrt{12} \):

\[ \sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3} \]

Now, substitute \( \sqrt{12} \) back into the perimeter expression:

\[ \text{Perimeter} = 8 \times 2\sqrt{3} \]

Calculating this gives:

\[ \text{Perimeter} = 16\sqrt{3} \]

Therefore, the perimeter of the square is

\[ \boxed{16\sqrt{3}} \]