Question

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?

Answer 1

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 2

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 4*length 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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