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Before being painted, a concrete play area was marked off into squares and then into triangles. For the square shown, what is the area of the triangular part labeled XYZ?

  1. 36 sq ft

  2. 32 sq ft

  3. 28 sq ft

  4. 40 sq ft

The correct answer is: 36 sq ft

The area labeled XYZ is a right triangle formed by the diagonal of the square, so the area is half the size of the square. Therefore, the correct answer is A 36 sq ft. Option B is incorrect because it is the area of the entire square, not just the triangular part labeled XYZ. Option C is incorrect because it is smaller than the area of the entire square, which is 64 sq ft. Option D is incorrect because it is the area of two triangular parts, not just one.