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)

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asked Mar 23, 2024 30.0k views

1 Answer

Slukehart · Answer 1 · 2024-03-27T09:46:10+0000

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

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).