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?

To determine the area of the triangular part labeled XYZ within the square, you need to apply the formula for the area of a triangle. The area of a triangle is calculated as one half the base times the height.

Assuming the dimensions of the square are known, let's say the side length of the square is a. This means the area of the square is ( a^2 ). If the triangle XYZ is formed within the square, typically, its base and height would need to be derived from measurements that fit within the dimensions of the square.

If the dimensions for the triangle in question result in a configuration where the base is a length of 8 ft and the height is 4 ft, calculating the area would yield:

Area = ( \frac{1}{2} \times \text{base} \times \text{height} ) = ( \frac{1}{2} \times 8 , \text{ft} \times 4 , \text{ft} ) = ( \frac{1}{2} \times 32 , \text{sq ft} ) = 16 sq ft.

Thus, if the area of triangle XYZ is indeed calculated to be 16