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)  64 cm

Correct Answer: A

Solution :

We know that, rhombus is parallelogram whose all four sides are equal and its diagonals bisects each other at \[90{}^\circ .\] \[\therefore \]      \[AB=\sqrt{{{(16)}^{2}}+{{(12)}^{2}}}\] \[=\sqrt{256+144}=\sqrt{400}\] = 20 cm = side of the rhombus \[\therefore \]Perimeter of the rhombus \[=20\times 4=80\,\text{cm}\]