# What are the Area of the Rhombus

The sides of a rhombus are 10 cm each and a diagonal measures 16 cm. Area of the rhombus is

- 96 sq. cm.
- 160 sq. cm.
- 100 sq. cm.
- 40 sq. cm.

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**Answer: (1) 96 sq. cm.**

**Explanation:-**

Given-

Side of a rhombus = 10 cm and one diagonal = 16 cm

In right angle triangle COD

OC

^{2}= 10

^{2}– 8

^{2}= 100 – 64 = 36

OC = 6

Other diagonal BD = 2 x 6 = 12 cm

**Formula-**

**Area of a rhombus = AC x BD/2 (where, AC, BD are the diagonals of the rhombus)**

Then, Area of rhombus ABCD = 12 x 16/2

= 192/2 = 96 sq. cm

Hence, the answer is (1) 96 sq. cm.