Final answer:
The area of the parallelogram is calculated using the formula: area = base × height, which gives us 90 in². However, this result does not match the provided options, leading to a discrepancy that requires double-checking the question and provided answer choices.
Step-by-step explanation:
To find the area of the parallelogram with the given measurements, we use the formula for the area of a parallelogram, which is: area = base × height. We were provided with a base of 10 inches and a height of 9 inches. The diagonal value is not necessary for this calculation. Therefore, the area can be calculated as:
Area = 10 in × 9 in = 90 in².
However, this result is not listed in the provided options. If we were to calculate the area of a triangle with a base of 10 inches and a height of 9 inches using the formula Area = ½ × base × height, the area would indeed be:
Area = ½ × 10 in × 9 in = 45 in².
But again, this measurement is not one of the options provided. Therefore, please check the question and the answer options for accuracy. None of the answers provided seem to match the calculated area of the parallelogram or a triangle with the given dimensions.