A parallelogram with a base of y units and a height of x units is changed to have a new base of 3y units and a height of 2x units, as shown in the figures below. if the area of the original parallelogram is 47 square units, determine the area of the new parallelogram.

The formula for the area of a parallelogram is

A=b*h where b=base and h=height

if the base were to increase by 3times and the height were to increase by 2 times then

6A=b*h

The area of the parallelogram would be 6 times larger

So if the original area was 47units², then the new area would be

47*6=282units²

Answer=282units²