Question

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.

Answer 1

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

Answer 2

See attachment image.