# The lengths of the diagonals of a rhombus are 12 cm and 16 cm.

Question:

The lengths of the diagonals of a rhombus are 12 cm and 16 cm. The area of the rhombus is

(a) $192 \mathrm{~cm}^{2}$

(b) $96 \mathrm{~cm}^{2}$

(c) $64 \mathrm{~cm}^{2}$

(d) $80 \mathrm{~cm}^{2}$

Solution:

(b) $96 \mathrm{~cm}^{2}$

Area of the rhombus $=\frac{1}{2} \times$ product of diagonals $=\frac{1}{2} \times 12 \times 16=96 \mathrm{~cm}^{2}$