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dmitriy555 [2]
3 years ago
5

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.

Mathematics
1 answer:
aksik [14]3 years ago
4 0

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.

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