The area of a square room can be expressed as 196x12y10z6 square feet . Hajime is installing a wallpaper border along the perimeter of the room. What is the perimeter?

For a square, the area is the side length squared, so take the square root of 196x^12y^10z^6. The side length is 14x^6y^5z^3, since each exponent is halved. The perimeter is four times the side length: 4(14x^6y^5z^3) = 56x^6y^5z^3 feet, which is choice D.

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