The area of a square room can be expressed as 196x^12y^10z^6 square feet . Hajime is installing a wallpaper border along the perimeter of the room. What is the perimeter?

It is a square room; so, first take the square of the area measure.
√(196x^12y^10z^6) = 14x^6y^5z^3
That result is the length of one side of the room; so, just multiply
that result by 4 to find perimeter.
14x^6y^5z^3 •4 = 56x^6y^5z^3| feet

Answer Link

Ajithmohan Ajithmohan · Answer 2 · 2022-07-01T03:46:45-04:00

The perimeter of the room is \(56x^{6} y^{5} z^{3}\) units.

How to calculate the perimeter of a room given the area ?

The area of the square room is = \(196x^{12}y^{10}z^{6}\) square units.

We know that the area of a square is given as the product of its sides,

Therefore the value of each side is = \(\sqrt{196x^{12}y^{10}z^{6}}\) unit

Side of the square room is = \(14x^{6} y^{5} z^{3}\) unit

Thus the perimeter of a square is given as the 4length of each side.

∴ Perimeter = 4\(14x^{6} y^{5} z^{3}\) = \(56x^{6} y^{5} z^{3}\) units.

Thus the perimeter of the square room is \(56x^{6} y^{5} z^{3}\) units.

To learn more about perimeter of a square, refer -

https://brainly.com/question/2198503

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