Question

The base of the parallelogram is thrice its height. If the area is 192 sq. cm, find the base and height.​

Answer 1

Step-by-step explanation:

Let the height of the parallelogram be x

Then, the base will 3x

Now, area of parallelogram is 192cm

It means that base * height = 192cm

Therefore, x * 3x = 192cm

3x^2 = 192

X^2 = 64

X = 8cm

It means that

Height is 8cm

And base is of 8 * 3 = 24cm

Answer 2

Given:

• Base of the parallelogram is thrice its height.
• Area of the parallelogram = 192 sq.cm

To find : Base & Height

Solution

Let the height be x.

Base = 3x

Area of a parallelogram = Base × Height

192 = 3x × x

$3 {x}^{2} = 192 \\ {x}^{2} = \frac{192}{3} = 64 \\ {x}^{2} = 64 \: \\ x = \sqrt{64} = 8cm$

Height = x = 8cm

Base = 3x = 3×8 = 24cm

Thank you ❤️