Question

If the area of parallelogram PQRS is 32 cm² and line XY || AS ,then the area of triangle ACS is____

• A. 32 $c{m}^2$
• B. 16 $c{m}^2$
• C. 8 $c{m}^2$
• D. Data Insufficient

Answer 1

The correct option is B

16 $c{m}^2$

ΔAPS and parallelogram PQRS are on equal bases and same parallels.

So, Area (ΔAPS) = $\frac{1}{2}$ Area (PQRS) = 16 $c{m}^2$

Triangle APS and triangle ACS are on equal base asand same parallels AS and XY

So, Area (ΔACS) = Area (ΔAPS) = 16 $c{m}^2$