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Find the area of a rhombus one side of which measures 20 cm and diagonal 24 cm


Options:
A .  366
B .  378
C .  384
D .  392
Answer: Option C

Let other diagonal = 2x cm
Since diagonals of a rhombus bisect each other at right angles, we have:
(20)2 = (12)2 + (x)2
x = ((20)2-(12)2)(1/2)= 256(1/2) = 16 cm
So, other diagonal = 32 cm
Area of rhombus = (1/2) x (Product of diagonals) = ((1/2)x 24 x 32) cm2 = 384 cm2




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