Question

In the given figure, if the altitude and the base of parallelogram are 12 cm and 6 cm respectively, then the area of triangle BEC is:

• A. 16 cm²
• B. 26 cm²
• C. 36 cm²
• D. 46 cm²

Answer 1

The correct option is C

36 cm²

In a parallelogram, a triangle between the same parallels and sharing the same base have area equal to half of that of parallelogram.

So, Area of $△$AED = $\frac{1}{2}$ (Area of ABCD)

Now, $△$AED = $\frac{1}{2}$ (CD) (altitude) = 36 $c{m}^2$

Therefore, Area of $△$AED = $36m^2$