Question

one side of a parallelogram is 16cm and the distance of this side from the opposite side is 7.5cm. The area of the parallelogram is

Answer 1

✬ Area of Parallogram = 120 cm² ✬

Step-by-step explanation:

Given:

• One side of a parallogram is 16 cm.
• Distance of this side from opposite side is 7.5 cm.

To Find:

• What is the area of parallogram ?

Solution: Let ABCD be a parallelogram where

• DC = 16 cm ( Base of ||gm )
• AE = 7.5 cm ( Distance between DC & AB i.e height of ||gm )

As , we know that formula for area of ||gm :-

★ Area of Parallogram = ( Base $\times$ Height ) ★

$\implies{\rm }$ Area of ABCD = ( DC $\times$ AE ) cm²

$\implies{\rm }$ Area of ABCD = ( 16 $\times$ 7.5 ) cm²

$\implies{\rm }$ Area of ABCD = 120 cm²

So, the area of parallogram ABCD is 120 cm².

____________________

➮ Opposite sides of parallogram are equal.

➮ Opposite angles of parallogram are equal.

➮ Perimeter = 2(Sum of length of adjacent sides)

➮ Diagonals bisect each other.

Answer 2

Step-by-step explanation:

✬ Area = 120 cm² ✬

Explanation:

Given:

Length of one side of parallogram is 16 cm

Distance of this side from opposite side is 7.5 cm

To Find:

What is area of parallogram?

Solution: We know that area of parallogram is

★ Area of Parallogram = (Base x Height) ★

\small\implies{\sf }⟹ Area = AB x DE

\small\implies{\sf }⟹ Area = 16 x 7.5

\small\implies{\sf }⟹ 120 cm²

Hence, Area of Parallogram is 120 cm²