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

1. 96 sq. cm.
2. 160 sq. cm.
3. 100 sq. cm.
4. 40 sq. cm.
Manish Listener Asked on 15th June 2015 in

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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.

Anurag Mishra Professor Answered on 17th June 2015.