If both a parallelogram and triangle have the same base and altitude, then the
area of the parallelogram is twice the area of the triangle.

Question

Quizplus · Accepted Answer

Let's assume that the base and altitude of both the parallelogram and triangle are b and h respectively.

The area of the parallelogram = base x altitude = b x h

The area of the triangle = base x altitude / 2 = b x h / 2

Therefore, the area of the parallelogram is:

b x h

And the area of the triangle is:

b x h / 2

Dividing the area of the parallelogram by the area of the triangle, we get:

(b x h) / (b x h / 2) = 2

Hence, the area of the parallelogram is twice the area of the triangle. Therefore, the option A is correct.

If Both a Parallelogram and Triangle Have the Same Base