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.
Answer: (1) 96 sq. cm.
Explanation:-
Given-
Side of a rhombus = 10 cm and one diagonal = 16 cm
In right angle triangle COD
OC2 = 102 – 82 = 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.