Answer:
The height of the parallelogram is [tex]Height=x^3 - 5 x^2 + 3 x - 3[/tex] cm.
Step-by-step explanation:
Given information:
[tex]Area=x^4-22x^2+12x-15[/tex] cm²
[tex]Base=x+5[/tex] cm
The formula for area of a parallelogram is
[tex]Area=Base\times Height[/tex]
Divide both sides by base.
[tex]\frac{Area}{Base}=Height[/tex]
[tex]Height=\frac{x^4-22x^2+12x-15}{x+5}[/tex]
Using synthetic method we get
[tex]Height=x^3 - 5 x^2 + 3 x - 3[/tex]
Therefore the height of the parallelogram is [tex]Height=x^3 - 5 x^2 + 3 x - 3[/tex] cm.
