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. $16c{m}^2$
• B. $26c{m}^2$
• C. $36c{m}^2$
• D. $46c{m}^2$

Answer 1

The correct option is C

$36c{m}^2$

In a parallelogram, a triangle between the same parallels and sharing the same base has an area equal to half the area of the 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 = $36m^2$