Question

base of a parallelogram is thrice of its height . if the area is 897 sq . cm . find the height and base of parallelogram .​

Answer 1

Question:-

base of a parallelogram is thrice of its height . if the area is 897 sq . cm . find the height and base of parallelogram .

Answer:-

The height and base of parallelogram are 17.29 cm and 51.87 cm

To find:-

Height and base of parallelogram

Solution:-

Area of parallelogram = 897 cm²

Let,

Height of parallelogram = x

Base of parallelogram = 3x

As we know,

$\large{ \boxed{ \mathfrak{area = b \times h}}}$

Where,

• b = base of parallelogram
• h = height of parallelogram

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x \times 3x = 897}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: 3 {x}^{2} = 897}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: {x }^{2} = \frac{897}{3} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: {x}^{2} = 299}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x = \sqrt{299} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: x = 17.29}$

Now,

Height = 17.29 cm

Base = 51.87 cm

Hence,

The height and base of parallelogram are 17.29 cm and 51.87 cm

Answer 2

Answer:-

The height and base of parallelogram are 17.29 cm and 51.87 cm

To find:-

Height and base of parallelogram

Solution:-

Area of parallelogram = 897 cm²

Let,

Height of parallelogram = x

Base of parallelogram = 3x

As we know,

area = l x b

Where,

b = base of parallelogram

h = height of parallelogram

According to question

:⟹ x × 3x = 897

:⟹ 3x² =897

:⟹ x² = 897/3

:⟹ x² = 299

:⟹ x = 17.29

Now

Height = 17.29 cm

Base = 51.87 cm

Hence

The height and base of parallelogram are 17.29 cm and 51.87 cm