The base of the parallelogram, b, can be found by dividing the area by the height.

If the area of the parallelogram is represented by 6x2 + x + 3 and the height is 3x, which represents b, the length of the base?

The area of a parallelogram is:

A = b * h

Where,

b: base

h: height

Clearing the base we have:

b = A / h

Substituting values we have:

b = (6x2 + x + 3) / 3x

Rewriting we have:

b = 2x + 1 / x + 1/3

Answer:

the length of the base is:

b = 2x + 1 / x + 1/3