Question

$\Delta ABP$ and parallelogram PABC are between the same parallel lines. If the area of parallelogram PABC is $24c{m}^2$, then the area of $\Delta ABP$ is

• A. $48c{m}^2$
• B. $32c{m}^2$
• C. $12c{m}^2$
• D. $6c{m}^2$

Answer 1

The correct option is C $12c{m}^2$

Area of parallelogram ABCP = $24c{m}^2$ ...... (given)
Area of $\Delta ABP=\frac{1}{2}$ Area of parallelogram ABCD ... (area of triangle is half the area of parallelogram if they have the same base and between the same parallels)

Area of $\Delta ABP=\frac{1}{2}\times 24=12c{m}^2$