The area of a square is the square of one of its side, therefore, based on the Pythagorean theorem, the statement that is true is: the area of region Z is equal to 289 in².
What is the Pythagorean Theorem?
The Pythagorean theorem states that the square of a the hypotenuse of a right triangle equals the sum of the squares of the other two legs of the right triangle.
Thus:
The side of square is the hypotenuse of the right triangle formed.
We are also given that the combined area of region x and region y equals 289 in².
Since, the area of a square is the square of one of its side, therefore, based on the Pythagorean theorem, the statement that is true is: the area of region Z is equal to 289 in².
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