Question

ABCD is a parallelogram with an area of $48c{m}^2$. If AC is a diagonal of the parallelogram, what is the area of $△ACD$ ?

• A. $18c{m}^2$
• B. $24c{m}^2$
• C. $16c{m}^2$
• D. $8c{m}^2$

Answer 1

The correct option is B $24c{m}^2$


We know that,
A diagonal divides a parallelogram into two congruent triangles.
Therefore, the area of each triangle is half the area of the parallelogram.

Given,
Area of parallelogram ABCD = 48 cm${}^2$
Therefore,
area of $△ACD$ = $\frac{AreaofParallelogram}{2}$
$\Rightarrow$ area of $△ACD$ = $\frac{48}{2}=24c{m}^2$