Question

If the area of a parallelogram is ​(x Superscript 4 Baseline minus 22 x squared plus 12 x minus 15​) square centimeters and its base is ​(x plus 5​) ​centimeters, find its height.

Answer 1

The height of the parallelogram is
`Height=x^3 - 5 x^2 + 3 x - 3` cm.

Explanation:

Given information:

`Area=x^4-22x^2+12x-15` cm²

`Base=x+5` cm

The formula for area of a parallelogram is

`Area=Base* Height`

Divide both sides by base.

`(Area)/(Base)=Height`

`Height=(x^4-22x^2+12x-15)/(x+5)`

Using synthetic method we get

`Height=x^3 - 5 x^2 + 3 x - 3`

Therefore the height of the parallelogram is
`Height=x^3 - 5 x^2 + 3 x - 3` cm.