Final answer:
The area of the parallelogram is determined by multiplying the base (8 meters, combining the side and the base of the left triangle) by the height (8 meters), which equals 64 square meters.
Step-by-step explanation:
The area of the parallelogram can be calculated using the base and the height. Although the parallelogram has a side labeled 6 meters, the base corresponding to the given height of 8 meters is not directly provided. However, since the left triangle formed by the height (8 meters) has a base of 2 meters, we can infer that the entire base of the parallelogram includes this 2 meters plus the length of the top side which is 6 meters, yielding a total base length of 8 meters. Therefore, the area of the parallelogram is computed by multiplying this base by the height.
The formula for the area of a parallelogram is base × height. Using the given dimensions, the area is 8 meters × 8 meters which equals 64 square meters. This is not one of the provided options, so there may have been an error in the question, but based on the information given, this is the correct calculation.