The new area can be calculated by first finding the new base length and height of the parallelogram after the changes are made.
Let the original base length be x and the original height be h.
Given that the area of the parallelogram is 160:
Area = base * height
160 = x * h
Given that the new base length is one-fourth its original length and the height is doubled:
New base length = x/4
New height = 2h
The new area can now be calculated as:
New Area = new base * new height
New Area = (x/4) * 2h
New Area = (x * 2h)/4
New Area = (x * h)/2
New Area = 160/2
New Area = 80
Therefore, the new area of the parallelogram is 80.
Correct answer: 80
The area of a parallelogram is 160. If the base is reduced to one-fourth its original length and its height is doubled, what is the new area?(1 point) Responses 60 60 80 80 160 160 320
1 answer