Question

The base of the parallelogram is thrice it's height. If the area is 192 cm^2. Then find base and height. ​

Answer 1

Given :-

★ Base of a parallelogram is thrice of it's height.

★ Area of parallelogram = 192 cm²

To Find :-

★ Base & height of parallelogram.

Solution :-

Let the height of the parallelogram be x cm.

Then, the base of the parallelogram = 3x cm

We know,

☞ Area of parallelogram = Base × Height

Substituting the values, we get

Area of parallelogram = 3x² cm²

According to the question, we can write

192 = 3x²

⟹ x = 8

Therefore,

Base of the parallelogram is 3x or 24 cm.

Height of the parallelogram is 8 cm.

$\bold\blue{@ItzSilentColleen }$

Answer 2

Given ,

• Area of parallelogram = 192 cm²

• The base of the parallelogram is thrice it's height

Let ,

• Height of parallelogram be " x "
• Then , base = 3x

We know that , the area of parallelogram is given by

$\boxed{ \sf{Area = base \times height }}$

Thus ,

192 = (3x) × (x)

192 = 3(x)²

(x)² = 64

x = √64

x = ± 8 cm

Since , length can't be negative

$\sf \therefore \underline{The \: base \: and \: height \: of \: parallelogram \: are \: 24 \: cm \: and \: 8 \: cm}$