# The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area

**Solution:**

Let's construct a rhombus ABCD as shown below

Let CB and AD be the diagonals of the rhombus ABCD.

AD = 7.5 cm, CB = 12 cm

Area of Rhombus ABCD = Area of ΔABC + Area of ΔDCB

= 1/2 × (CB × AO) + 1/2 × (CB × OD)

= 1/2 × CB × (AO + OD)

= 1/2 × CB × AD

= 1/2 × 12 m × 7.5 m

= 45 m²

**Video Solution:**

## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area

### Class 8 Maths NCERT Solutions - Chapter 11 Exercise 11.2 Question 5

**Summary:**

The diagonals of a rhombus are 7.5 cm and 12 cm. The area of the rhombus is 45 m².