Question

The base and height of a parallelogram are in the ratio 4:3. If the area of the parallelogram
is 192 sq. cm, find its height and base.​

Answer 1

$\underline{\underline {\sf{\maltese \: \: To \: Find}}}$:

• Find the height and base of the parallelogram.

$\underline{\underline {\sf{\maltese \: \: Given}}}$:

• The bar and height of the parallelogram are in the ratio of 4 : 3.

• The area of parallelogram is 192cm².

$\underline{\underline {\sf{\maltese \: \: Solution}}}$:

As we know that:

Area of parallelogram = base × height

Putting Values:-

Let the height be " 3x "

Then the base be " 4x "

$\tt\implies \: 192 = 4x \times 3x$

$\tt\implies \: 192 = {12x}^{2}$

$\tt\implies \: {x}^{2} = \cancel\dfrac{192}{12}$

$\tt\implies \: x = \sqrt{16}$

$\tt\implies \: x = 4$

Hence,

• $\tt \: Base \: \: is \: \: 4x = 4 ( 4 ) = 16$
• $\tt \: Height \: \: is \: \: 3x = 4 ( 3 ) = 12$