Final Answer:
The area of the parallelogram with a base of 10 inches, a height of 9.8 inches, and a diagonal of 5.6 inches can be determined using the formula for the area of a parallelogram, which is base multiplied by height. Therefore, the area is 98 square inches.
Explanation:
The formula for finding the area of a parallelogram is given by the product of its base and height. In this case, the given base is 10 inches, and the height is 9.8 inches. Applying the formula, Area = Base × Height, gives us Area = 10 inches × 9.8 inches = 98 square inches. Hence, the area of the parallelogram is 98 square inches.
However, there seems to be an inconsistency or discrepancy with the provided options. The calculated area of 98 square inches does not match any of the options provided (a) 92.6 in², (b) 101.2 in², (c) 108.7 in², or (d) 114.5 in². It's possible that there might be a typographical error in the given options, or there could be a mistake in the calculations for the provided answers.
Apologies for any confusion caused, but based on the calculations using the formula for the area of a parallelogram, the accurate area for the given dimensions is 98 square inches, which does not correspond to any of the available answer choices.