Because the area of a parallelogram is equal to the product of the base and the height, the area is the product of πr and r, or πr squared. Therefore, the correct choice is: A. product, product
The area of a parallelogram is calculated by multiplying the base by the height. So, the blank needs to represent a multiplication operation.
In the second part of the sentence, the area is described as the product of π r and r. This further reinforces that the first blank should also represent multiplication.
Therefore, product is the correct term for both blanks, as it accurately describes the operations involved in calculating the area of both a parallelogram and a circle.
The other options are incorrect because:
B. quotient, quotient: This would imply dividing the base by the height, which is not the way to calculate the area of a parallelogram.
C. difference, difference: This wouldn't make mathematical sense in either context.
D. sum, sum: This would imply adding the base and the height, which again wouldn't be accurate for calculating the area.