Question

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 + +

Answer 1

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

Explanation:

Answer 2

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.


`Base= (6 x^(2) +x+3)/(3x) \\ \\ = (6 x^(2) )/(3x) + (x)/(3x) + (3)/(3x) \\ \\ =2x+ (1)/(3)+ (1)/(x)`

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.