Question

Find the height if the area of the parallelogram is 36 square cm and the base is 9 cm​

Answer 1

Answer:

Height of the parallelogram = 4 cm

Step-by-step explanation:

Given :

Area of the parallelogram = 36 cm²

Base of the parallelogram = 9 cm

To find :

The height of the parallelogram

Taken :

Let the height of the parallelogram be x

To find the height of the parallelogram use this formula-:

\boxed{\rm{A=b\:h}}

A=bh

Where,

A = Area

b = Base

h = Height

Solution :

:\implies\rm{{36cm}^{2}=9cm\times\:x}:⟹36cm

2

=9cm×x

:\implies\rm{\cancel{\dfrac{{36cm}^{2}}{9cm}}=x}:⟹

9cm

36cm

2

=x

:\implies\rm{4cm=x}:⟹4cm=x

So , the height of the parallelogram is 4 cm ...

Answer 2

Given :

• Area of parallelogram = 36 cm²
• Base of the parallelogram = 9 cm

To find :

• Height of the parallelogram

Knowledge required :-

• Formula of area of parallelogram :-

⠀⠀⠀⠀⠀Area = b × h

where,

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

Solution :

⠀⠀⠀⇒ 36 = 9 × h

⠀⠀⠀⇒ 36/9 = h

⠀⠀⠀⇒ 4 = h

★ Therefore, height of the parallelogram = 4 cm

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Verification :-

Substitute the value of h in 36 = 9 × h

LHS = 36

Taking RHS,

⠀⠀⠀⇒ 9 × h

⠀⠀⠀⇒ 9 × 4

⠀⠀⠀⇒ 36

RHS = 36

LHS = RHS

Hence, verified.

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Know MorE ::

Properties of parallelogram :-

• If one angle is right angled, then all angles are right.
• The diagonals of a parallelogram bisect each other.
• The opposite sides of parallelogram are equal to each other.
• The opposite sides of parallelogram are parallel to each other.