Question

What happens to the area of a parallelogram when you double the height and the base?

Answer 1

4 x area_of_parallelogram

Explanation:

area_of_parallelogram = base x height

if they are both doubled then:

new_area = (2 x base) x (2 x height)

= 4 x (base x height)

= 4 x area_of_parallelogram

Answer 2

The area becomes 4 times greater.

Explanation:

Whatever you do to all the linear measurements (such as length, width, height, base), the change in the area is the square of that.

If you double the height and base, that means you multiplied the height and base by 2, so the area increases by a factor of the square of 2. 2^2 = 4. The area is 4 times greater.