A diagonal of a rhombus is 6 cm. If its area is 24 cm² then the length of each side of the rhombus is :

A. 5 cm

B. 6 cm

C. 7 cm

D. 8 cm

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \frac{1}{2} \times 6 \times d = 24 \cr & \Rightarrow d = \frac{{24}}{3} \cr & \Rightarrow d = 8\,cm \cr & OA = 4\,cm\,{\text{and}}\,OB = 3\,cm \cr & \therefore AB = \sqrt {{{\left( {OA} \right)}^2} + {{\left( {OB} \right)}^2}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = \sqrt {{4^2} + {3^2}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\, = 5\,cm \cr} $$