Question

The base and the corresponding altitude of a parallelogram are 35 cm and 42 CM respectively. If the other altitude is 30 CM, find the length of the other pair of parallel sides?

Answer 1

hope it help you my friend.

Answer 2

✬ Other parallel side = 49 cm ✬

Step-by-step explanation:

Given:

• Base and corresponding altitude of ||gm are 35 & 42 cm.
• Measure of other altitude of ||gm us 30 cm.

To Find:

• What is the length of other pair of Parallel sides ?

Solution: Let ABCD be a parallelogram. Where,

• AB = 35 cm (Base) then,
• DE = 42 cm (Corresponding altitude)

And , when

• BC = Base , then
• DF = 30 cm (Corresponding altitude)

As we know that:-

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

Therefore, area of parallelogram when the base is AB is

$\implies{\rm }$ Area = ( AB $\times$ DE ) cm²

$\implies{\rm }$ Area = ( 35 $\times$ 42 ) cm²

$\implies{\rm }$ Area = 1470 cm²

So, The area of ||gm ABCD is 1470 cm².

Now, again area of ABCD when we take BC as base and DF as corresponding altitude.

➙ Area of ||gm = ( BC $\times$ DF )

$\implies{\rm }$ 1470 = ( BC $\times$ 30 )

$\implies{\rm }$ 1470/30 = BC

$\implies{\rm }$ 49 cm = BC

Hence, the other parallel side of parallelogram is 49 cm.