To calculate the area of the polygon shaped like an "X," we need to identify the coordinates of the vertices and the specific lengths involved. However, since you haven't provided the full context or the coordinates clearly, I will guide you through a method commonly used for polygons.
Assuming the "X" shape polygon consists of two congruent triangles, we can calculate the area by finding the area of one triangle and then multiplying by 2.
- Identify the vertices of the triangles: If no coordinates are specified, we must rely on the provided lengths.
- Calculate Area of One Triangle: Use the formula for the area of a triangle: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \).
If you have specific dimensions (e.g., the lengths of the sides, the height, or coordinates), please provide those for a more accurate calculation.
Given that the options are 190, 76, 140, and 165 square units, if we have enough information, we can conclude with a comparison to determine the right choice.
Additional Assistance
Please clarify or provide any vertex coordinates, lengths, or additional information about the shape, and I can assist you further in calculating the area accurately.