Find the perimeter of a square with a side length of 3square root32

1 answer

The perimeter of a square is found by multiplying the length of one side by 4. Given that the side length is 3√32, we can substitute this value into the formula to find the perimeter:

Perimeter = 4 * 3√32

To simplify, we can evaluate √32:

√32 = √(16 * 2) = √16 * √2 = 4√2

Now we can substitute this back into the equation:

Perimeter = 4 * 3 * 4√2
Perimeter = 12 * 4√2
Perimeter = 48√2

Therefore, the perimeter of the square with a side length of 3√32 is 48√2.