Question

The area of a parallelogram is 8x^2+2x-6 and it's height is 2x+2. What is the base of the parallelogram?​

Answer 1

Answer:

4x - 6

Step-by-step explanation:

Remember the formula for finding the area of a parallelogram;$(base)*(height)=(area)$

Manipulate the equation such that it is solved for the base;

$(base)=\frac{(area)}{(height)}$

So the equation that needs to be solved is;

$\frac{(8x^{2} + 2x - 6 )}{(2x + 2)}$

Set up the division problem and solve;

              _____4x - 6___

$2x + 2$     | $8x^{2} + 2x - 6$

             $-(8x^{2}+8x)$

                ________

                       -6x - 6

                      $+ (6x + 6 )$

                      ________

                              0