Given:

The area of the parallelogram = 192

The base of the parallelogram = thrice its height.

To Find:

The base and the height of the parallelogram.

Solution:

Let x be the height of the parallelogram.

From the given data we can get to know that, base of the parallelogram = 3x.

We knew that the area of the parallelogram is given by,

area = height*base

Substitute the given values in the above formula.

192 = x*3x

192 = 3

= 192/3 = 64

x = √64

x = 8

Substitute the value of x in the height and base obtained.

Height = x = 8 cm

Base = 3x = 3*8 = 24 cm

∴ The height of the parallelogram is 8 cm and the base of the parallelogram is 24 cm.