Question

Q 32. If the length of the adjacent sides of a parallelogram is 16 cm and 30 cm, and the angle between them is 45°, then find

the area of the parallelogram.
Ops: A. 0240,2 sq.cm
B. 022542 sq.cm
C. 0270,2 sq.cm
D. 0180/2 sq.cm

Answer 1

Option A

Explanation:

When adjacent sides and angle between the adjacent sides are given, then,

`\sf \boxed{\text{\bf Area of Parallelogram = a*b * $Sin \ \theta$}}`

Here, a and b are the adjacent sides and
`\sf \theta` is the angle between them.

a = 16 cm ; b = 30 cm ;
`\sf \theta = 45^\circ`

Area of parallelogram = 16 * 30 * Sin 45

`\sf = 16 * 30 * (√(2))/(2)\\\\= 8*30*√(2)\\\\= 240√(2) \ sq.cm`