Question

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?
52x6|y5z3| feet
52x10y8z4 feet
56x10y8z4 feet
56x6|y5z3| feet

Answer 1

Area = 196 x^{12} y^{10} z^{6}. For a square, side = sqrt(area) = sqrt(196) x^{12/2} y^{10/2} z^{6/2} = 14 x^6 y^5 z^3. Perimeter = 4 × side = 56 x^6 y^5 z^3 feet.

Answer: 56x^6y^5z^3 feet (the fourth choice).