Question

What is the area of the rhombus ABCD below, if AC=12cm and BE= 16cm.

• A. $384c{m}^2$
• B. $192c{m}^2$
• C. $48c{m}^2$
• D. $96c{m}^2$

Answer 1

The correct option is B

$192c{m}^2$

The diagonals of a rhombus bisect each other. Therefore in the above figure:

$\Rightarrow$BE=DE

$\Rightarrow$BD=2×BE

$\Rightarrow$BD=2×16=32cm

Area of a rhombus = half of the product of length of the two diagonals.

$\Rightarrow \text{A}rea=\frac{1}{2}\times AC\times BD$

$\Rightarrow \text{A}rea=\frac{1}{2}\times 12\times 32=192c{m}^2$.