Question

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

Answer 1

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

Answer 2

Answer:

b =  $2x+\frac{1}{3}+\frac{1}{x}$

Step-by-step explanation:

The area of the parallelogram is represented by $6x^{2} +x+3$

The height is $3x$

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

So, 'b' can be found as $\frac{6x^{2}+x+3 }{3x}$

In simplified form, we can write this as :

=> $\frac{6x^{2} }{3x}+\frac{x}{3x}+ \frac{3}{3x}$

=> $2x+\frac{1}{3}+\frac{1}{x}$

Hence, base or 'b' is $2x+\frac{1}{3}+\frac{1}{x}$