Final answer:
To find the new area of the parallelogram, you need to calculate the new base and height. If the base is reduced to one-fourth its original length, and the height is doubled, the new area is (1/2) times the original area.
Step-by-step explanation:
To find the new area of the parallelogram, we need to calculate the new base and height. If the base is reduced to one-fourth its original length, then the new base is 1/4 times the original base. If the height is doubled, then the new height is 2 times the original height.
Let's say the original base is 'b' and the original height is 'h'. The new base is (1/4)b and the new height is (2h). The new area is given by:
New Area = (1/4)b * (2h) = (1/2)bh
Since the original area is 240, we have:
240 = bh
Substituting this into the new area formula, we get:
New Area = (1/2)(240) = 120
Therefore, the new area of the parallelogram is 120 units.