Question

If ABCD is a parallelogram whose area is 54 $c{m}^2$, then the area of triangle AEB is ____.

• A. $27{\text{cm}}^2$
• B. $54{\text{cm}}^2$
• C. $108{\text{cm}}^2$
• D. None of the above

Answer 1

The correct option is A $27{\text{cm}}^2$

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.
$\therefore \text{Area of triangle AEB =}\frac{1}{2}\times 54=27{\text{cm}}^2$.