The area of a parallelogram = (base)(height)

We know the base has length 4...



...however, we don't know the height:



However, if we recognize that we have a RIGHT TRIANGLE hiding in our diagram...

... we can use the fact that the hypotenuse is always the longest side in a RIGHT TRIANGLE.
Since the hypotenuse in the above triangle has length 6, we know that the other sides of the right triangle are LESS THAN 6


This means the triangle's height is less than 6

It also means the height of the parallelogram is less than 6

We're now ready to answer the question.

The area of a parallelogram = (base)(height)
= (4)(some number less than 6)
= some number less than 24

So, we get:
QUANTITY A: some number less than 24
QUANTITY B: 24

Answer: B