Question

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

• A. $26c{m}^2$
• B. $36c{m}^2$
• C. $46c{m}^2$
• D. $56c{m}^2$

Answer 1

The correct option is B $36c{m}^2$

Area of parallelogram ABCD = base $\times$ height
$=12\times 6$
$=72c{m}^2$
If a triangle and a parallelogram are on the same base and between the same parallels, then the area of the triangle is equal to half the area of the parallelogram.

$\therefore$ Area of $△BEC=\frac{1}{2}$ (Area of ABCD)

Now, $△BEC=\frac{1}{2}\times 72c{m}^2$

$\therefore$ Area of $△BEC=36c{m}^2$