If the diagonals of a rhombus are 24cm and 10cm the area and the perimeter of the rhombus are respectively.

A 10

B 11

C 12

D 13

Correct Answer: Option D

Area = \(\frac12\ast diagonal1\ast\frac12diagonal2\) = \(\frac12\ast24\ast10\) sq.cm

\(\frac12\ast daigonal1=\frac12\ast24=12cm\)

\(\frac12\ast diagonal2=\frac{\displaystyle1}{\displaystyle2}\ast10=5cm\)

side of a rhombus = (12)² + (5)² = 169 => AB = 13cm