Question

the base and the corresponding altitude of parallelogram are 10 cm and 3.5cm, respectively find the area of the parelelogram is 30sqcm
(answer in true or false)​

Answer 1

✬ Area = 35 cm² ✬

Step-by-step explanation:

Given:

• Measure of base of parallelogram is 10 cm.
• Measure of altitude of parallelogram is 3.5 cm.

To Find:

• What is the area of parallelogram ?

Solution: Let ABCD be a parallelogram where,

• AB = 10 cm ( Base )
• DE = 3.5 cm ( Altitude of ||gm )

As we know that

★ Area of ||gm = Base $\times$ Height ★

$\implies{\rm }$ Area = AB $\times$ DE

$\implies{\rm }$ Area = 10 $\times$ 3.5

$\implies{\rm }$ Area = 35 cm²

Hence, the area of parallelogram is 35 cm². So above statement is false.

__________________

→ Opposite sides of parallelogram are equal and parallel.

Answer 2

Given that ,

The base and altitude of parallelogram are 10 cm and 3.5 cm

We know that ,

The area of parallelogram is given by

$\large \sf \fbox{Area = Base × Altitude }$

Thus ,

Area = 10 × 3.5

Area = 35 cm²

$\therefore \sf \underline{The \: area \: of \: parallelogram \: is \: 35 \: {cm}^{2} }$