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

4x - 6

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)=((area))/((height))`

So the equation that needs to be solved is;

`((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