Question

The area of parallelogram ABCD is 90 $c{m}^2$. Find the area of $\Delta$ ABD.

• A. 90
• B. 180
• C. 45
• D. 75

Answer 1

The correct option is C

45

We know that parallelogram on the same base and between the same parallel lines are equal in area.

Therefore, area of parallelogram ABEF = Area of parallelogram ABCD = 90 cm²

We also know that, if a triangle and a parallelogram are on the same base and between the same parallels, then the area of a triangle is equal to half of the area of the parallelogram.

Area of $\Delta$ ABD = $\frac{1}{2}$ $\times$ Area of parallelogram ABEF

= $\frac{1}{2}$ $\times$ 90 $c{m}^2$

= 45 $c{m}^2$

Area of $\Delta$ ABD = 45 $c{m}^2$