Question 276534
Use the Pythagorean Theorem: a^ + b^2 = c^2

We do not know the measure of one side of this square.

The sides of any square is the same all around.

In the theorem above, a^2 and b^2 represent two sides of your square.

However, c^2 represents 5(sqrt{2}).

NOTE: 5(sqrt{2}) is read: "five times the square root of two."

Let x = one side of your square.

Then we have x^2 + x^2 = [5(sqrt{2})]^2

2x^2 = 50

x^2 = 50/2

x^2 = 25

x = 5

The perimeter of any square can found using the formula P = 4 times side.

I just found one side of your square to be 5.

Then P = 4 times 5 or 20.

The perimeter is 20.

NOTE: You can also add all four sides to find the perimeter of your 
square like this: 5 + 5 + 5 + 5 = 20.

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