AB = 6 cm ; AD = 4 cm and ∠ BAD = 30°
Area of parallelogram ABCD = AB x AD x sin 30°

Correct Option: A

AB = 6 cm ; AD = 4 cm and ∠ BAD = 30°
Area of parallelogram ABCD = AB x AD x sin 30°
= 6 x 4 x sin 30° = 12 cm²

Area of parallelogram = Side of parallelogram x distance from the opposite side

Correct Option: B

Area of parallelogram = Side of parallelogram x distance from the opposite side
= 14 x 16 cm²
= 224 cm²

Let length of the longer diagonal = d cm
Then, length of other diagonal = 0.8 x d cm
Area of rhombus = (1/2) x d x 0.8 x d = 2/5 d²
= 2/5 d²

Area of square of the length of the longer diagonal = d²

Correct Option: B

Let length of the longer diagonal = d cm
Then, length of other diagonal = 0.8 x d cm
Area of rhombus = (1/2) x d x 0.8 x d = 2/5 d²
= 2/5 d²

Area of square of the length of the longer diagonal = d²

So the area of the rhombus is 2/5 times the square of the length of the longer diagonal.

Area of rhombus = (d₁ x d₂) / 2

Correct Option: B

Area of rhombus = (d₁ x d₂) / 2
⇒ (d x 2d ) / 2 = 144
⇒ d² = 144
⇒ d = 12
∴ Length of diagonal = 12 cm, 24 cm

We know that in any triangle
"the sum of two sides is always greater than its third side" and
"the difference of two sides is always less than its third side".
(i) 2 + 3 is not greater than 5
(ii) |5 - 2| not less than 3

Correct Option: B

We know that in any triangle
"the sum of two sides is always greater than its third side" and
"the difference of two sides is always less than its third side".
(i) 2 + 3 is not greater than 5
(ii) |5 - 2| not less than 3