Question

If the area of the parallelogram is represented by (6x^2 + x + 3) and the height is (3x), which represents (b), the length of the base?

a) (2x + 3)
b) (x)
c) (2x + x)
d) (2x)

Answer 1

The length of the base of the parallelogram is (6x^2 + x + 3) / (3x), which is equivalent to option d) (2x).

Step-by-step explanation:

The area of a parallelogram is given by the formula:

Area = base x height

Given that the area of the parallelogram is represented by (6x^2 + x + 3), and the height is (3x), we can substitute these values into the formula:

(6x^2 + x + 3) = base x (3x)

To find the value of the base, we can solve for base:

base = (6x^2 + x + 3) / (3x)

Therefore, the length of the base is (6x^2 + x + 3) / (3x), or option d) (2x).