Question

the area of parallelogram is 30cm^2 and a base is 10 cm find the length of altitude drawn to the base​

Answer 1

Required Solution :

→ 3 cm

Given :

• Area of parallelogram = 30 cm²

• Base = 10 cm

To calculate :

• Length of altitude

Calculation :

Let the altitude be "h".

As we know that :

★$\boxed{\sf{Area \: of \: \parallel gram = base \times altitude}}$

But according to the question :

➝ 30 cm² = ( 10 × h ) cm²

➝ $\dfrac{30}{10}$ cm= h

➝ 3 cm= h

Therefore, altitude of the parallelogram is 3 cm.

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Justification:

Let us substitute the values in LHS and RHS to justify the answer.

As we know that :

★$\boxed{\sf{Area \: of \: parallelogram = base \times altitude}}$

➝ 30 cm² = ( 10 × 3 ) cm²

➝ 30 cm² = 30 cm²

LHS = RHS

                       Hence, verified!

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More about parallelogram :

● In a parallelogram , both pairs of opposite sides are equal.

● In a parallelogram, opposite angles are equal

● In a parallelogram , diagonals bisect each other.