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?
Area for square = s² = 196x¹²y¹⁰z⁶
s = √(196x¹²y¹⁰z⁶)
s = 14x⁶y⁵z³
Perimeter = 4s = 4(14x⁶y⁵z³) = 56x⁶y⁵z³
Perimeter = 56x⁶y⁵z³ feet.
The perimeter of the room is 4×14x⁶y⁵z³=56x⁶y⁵z³ feet.
The area of a square is given by the formula
Area of a square=(Side of the square)²
The perimeter of a square is given by the formula
Perimeter of a square=4×Side of the square
The area of the square room is 196x¹²y¹⁰z⁶=(14x⁶y⁵z³)² (feet)²
So, one side of the square room is measured at 14x⁶y⁵z³ feet.
Hence, the perimeter of the room is 4×14x⁶y⁵z³=56x⁶y⁵z³ feet.
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