The area of a parallelogram is 72 CM square and its altitude is twice the corresponding base. the length of a base is

b * 2b = 72

now just solve for b

To find the length of the base of the parallelogram, we need to use the formula for the area of a parallelogram: Area = base * altitude.

Given that the area of the parallelogram is 72 cm² and the altitude is twice the corresponding base, let's represent the base as 'x' cm.
So, the altitude would be 2x cm.

Using the formula, we can write the equation as:
72 = x * 2x

Simplifying the equation:
72 = 2x²

Dividing both sides of the equation by 2:
36 = x²

Taking the square root of both sides:
√36 = √(x²)
6 = x

Therefore, the length of the base of the parallelogram is 6 cm.