Answer: 32 units²
Step-by-step explanation:
1. Circumscribe a rectangle on the parallelogram.
2. You can see that four triangles are formed. So, to calculate the area of the parallelogram you must subtract the area of four triangles from the area of the rectangle.
3. The triangles SVR and UYT are equal, therefore their areas are equal. The triangles UXR and SWT are equal, therefore their areas are equal.
4. So, the area of the parallelogram is:
[tex]A_p=(10unit)(6units)-2(\frac{6*2}{2})-2(\frac{4*4}{2})=32units^{2}[/tex]
