Question

A parallelogram having base 10 cm and height 8 cm is cut along its diagonal into two portions. What is the area of each portion?

• A. $20c{m}^2$
• B. $40c{m}^2$
• C. $60c{m}^2$
• D. $80c{m}^2$

Answer 1

The correct option is B $40c{m}^2$

The diagonal of a parallelogram divides it into two congruent triangles. Therefore the area of each triangle will be half of the area of the parallelogram.

Area of a parallelogram = base x height

$\text{Area of the parallelogram}=10\times 8=80c{m}^2$

$\text{Area of each portion}=\frac{1}{2}\times 80c{m}^2=40c{m}^2$
$\therefore$ Area of each portion is $40c{m}^2$.