The area of a parallelogram
is 240. If the base is reduced to one-fourth its original length, and
its height is doubled, what is the new area?
30
60
120
240
The new area is 120.
If the base is reduced to one-fourth its original length, the new base will be 1/4 of the original base. Therefore, the new area will be 1/4 of the original area:
new area = 1/4 * 240 = 60
If the height is doubled, the new height will be 2 times the original height. Therefore, the new area will be:
new area = base * new height = (1/4 original base) * (2 original height)
new area = 1/2 original area
Substituting the original area, we get:
new area = 1/2 * 240 = 120
Therefore, the new area is 120.