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
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