Question

The height of the parallelogram, h, can be found by dividing the area by the length of the base. If the area of the parallelogram is represented by 4x2 – 2x + 5 and the base is 2x – 6, which represents the height? 2x + 5 + 2x – 7 – 2x – 7 + 2x + 5 –

Answer 1

`2x+5+(35)/(2x-6)`

Explanation:

Given,

The area of the parallelogram, A =
`4x^2-2x+5`

The length of its base, b =
`2x-6`

∵ The height of the parallelogram.

`h=(A)/(b)`

`\implies h=(4x^2-2x+5)/(2x-6)`

`=2x+5+(35)/(2x-6)` ( by long division shown below )

Hence, the height of the given parallelogram is,

`2x+5+(35)/(2x-6)`

Answer 2

`(4x^(2)-2x+5)/(2x-6) =2x + 5 + (35)/(2x-6)`

Explanation:

We know that the height of a parallelogram can be found by divind the area by the lenght of the base.

The area is 4x2 – 2x + 5 and the base is 2x – 6. To find the height, we need to divide both polynomials:

`(4x^(2)-2x+5)/(2x-6) =2x + 5 + (35)/(2x-6)`