What is the perimeter of the entire playing surface of the square? *Do not count the inside lines.* Show your work to receive credit. Answers should be in simplest radical form.

Answer 1

Since it is a square, all of its sides have the same length. Let's say the length of one side is a.

The perimeter of a square is given by the formula 4a.

Therefore, the perimeter of the entire playing surface of the square is 4a.

To simplify further, we can express the perimeter in simplest radical form:

Perimeter = 4a = 4 * √2 * √2 = 4√2

So, the perimeter of the entire playing surface of the square is 4√2.