A factory manufactures wooden squares whose side length should be one meter. However, the side length of the squares is not always but varies uniformly between and Note that the height and the breadth of each square piece remain equal to each other.
Two inspectors, Alice and Bob, want to calculate the average area of a square.
- Alice claims that the average area is because the average side length is and
- Bob claims that the average area is because the the area is between and and .
Who is correct?