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

Answer: Option A

Solution

Answer: Option A

Solution:

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