Question

The diagonals of a rhombus are $8$ cm and $10$ cm. Then the area of the rhombus is

• A. $64c{m}^2$
• B. $100c{m}^2$
• C. $80c{m}^2$
• D. $40c{m}^2$

Answer 1

The correct option is D $40c{m}^2$

Let $d_1$ and $d_2$ be the lengths of the sides of diagonals.
Given that $d_1=8$ cm
and $d_2=10$ cm
$\therefore$ Area of rhombus $=\frac{1}{2}\left(d_1\right)\left(d_2\right)=\frac{1}{2}\left(8\right)\left(10\right)=40c{m}^2$