question_answer

The diagonals of a rhombus are 32 cm and 24 cm respectively. The perimeter of the rhombus is

A)  80 cm             

B)  72 cm

C)  68 cm             

D)  88 cm

Correct Answer: A

Solution :

\[\because \] \[{{d}_{1}}=32\] and \[{{d}_{2}}=24\,cm\] \[\therefore \] OA = 16 cm and OB = 12 cm             \[\therefore \] \[AB=\sqrt{O{{A}^{2}}+O{{B}^{2}}}=\sqrt{225+144}\]             \[=\sqrt{400}=20\] \[\therefore \] Perimeter of rhombus \[=4\times AB\]                         \[=4\times 20=80\,cm\]