A side and a diagonal of a rhombus are 10cm and 12cm respectively, Find its area
A
20cm2
B
24cm2
C
48cm2
D
96cm2
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
From the diagram above
B\(^2\) = 10\(^2\) - 6\(^2\) = 64
B = \(\sqrt{64}\) = 8 cm( B represent half the second diagonal not given)
So, the second diagonal not given = 8 + 8 = 16cm.
But, Area of a rhombus = \(\frac{1}{2}\) x both diagonals that is, \(\frac{1}{2}\) x d\(_1\) x d\(_2\)
Area of a rhombus = \(\frac{1}{2}\) x 12 x 16 = 6 x 16 = 96cm\(^2\)
Source: Myschool Past Questions Archive (Record #36800)