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? 2x + 3 + 2x + + x 2x + + 2x + +

Respuesta :

Area of a parallelogram is the product of its height and base.

                                     Area = Base x Height

From here, we can write:

                                    Base = Area / Height

We are given the expressions of Area and Height, using those, we can find the expression for Base.

[tex]Base= \frac{6 x^{2} +x+3}{3x} \\ \\ = \frac{6 x^{2} }{3x} + \frac{x}{3x} + \frac{3}{3x} \\ \\ =2x+ \frac{1}{3}+ \frac{1}{x} [/tex]

The above expression gives the base in terms of x. The options are not copied properly. So match the given options with the above answer to get the correct option.

2x+1/3+1/x= C

Step-by-step explanation: