Area of a rhombus is 96 m2. If one diagonal of the rhombus is 12 m, find the length of the second diagonal.

Area of a rhombus is 96 m². If one diagonal of the rhombus is 12 m, find the length of the second diagonal.

A 8 m

B 12 m

C 16 m

D 24 m

Correct Answer: Option C

Area of rhombus = \({1 \over 2} \times {d_1} \times {d_2}\)

Where d₁ and d₂ are the diagonals of the rhombus,

\(\eqalign{ & \Rightarrow 96\ {m^2} = {1 \over 2}{d_1} \times {d_2} \cr & \Rightarrow {d_2} = 16\ m \cr}\)

Hence, length of the second diagonal would be 16 m.