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What will be the area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm respectively?

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192cm2

194cm2

362cm2

294cm2

answer is A.

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Detailed Solution

We have to find the area of a rhombus with AC = 24 cm and BD = 16 cm.
Question Image

Let ABCD to be Rhombus with diagonals AC and BD,
We know that in a Rhombus, diagonals are perpendicular bisectors to each other.
Calculating the area of triangle AOB,

= 12 × A O × O B = 12 × 162 × 242 = 4 × 12 = 48 c m 2

Calculating the area of Rhombus ABCD,
The area of the Rhombus is 4 times the area of

Δ A O B

= 4 × 48 = 192 c m 2

Area of Rhombus ABCD is 192cm2.
Therefore, option 1 is correct.

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