SOLUTION: A diaganol of a square has length 22, What is the perimeter of the square?

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Question 851429: A diaganol of a square has length 22, What is the perimeter of the square?
Answer by JulietG(1812) About Me  (Show Source):
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The diagonal cuts the square into right triangles.
In a right triangle,
a%5E2%2Bb%5E2=c%5E2
a%5E2%2Bb%5E2=22
Since it's a square, a and b have the same lengths, so
2a%5E2=22
Divide each side by 2
a%5E2=11
Take the square root
a = the square root of 11 (and therefore, b = the square root of 11)
Add the sides together and multiply by 2 to get the perimeter (perimeter is a fence requiring 2 width + 2 length) - since it's a square, just multiply the side by 4.
4 * sq rt of 11 = 13.2665