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

Answer:

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

Step-by-step explanation:

Given information:

$Area=x^4-22x^2+12x-15$ cm²

$Base=x+5$ cm

The formula for area of a parallelogram is

$Area=Base\times Height$

Divide both sides by base.

$\frac{Area}{Base}=Height$

$Height=\frac{x^4-22x^2+12x-15}{x+5}$

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.