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

Respuesta :

The perimeter of the room will be [tex]56x^6y^5z^3[/tex] feet

Area of a square

A square is quadrilateral with 4 sides. The formula for calculating the area of the shape is given as:

A = L²

Given the following parameters

A = [tex]196x^{12}y^{10}z^6[/tex]

Substitute

L²[tex]=196x^{12}y^{10}z^6[/tex]
[tex]L=\sqrt{196x^{12}y^{10}z^6}\\L=14x^6y^5z^3[/tex]

Determine the perimeter

Perimeter = 4L

Perimeter = 4(14x^6y^5z^3)

Perimeter = [tex]56x^6y^5z^3[/tex]

Hence the perimeter of the room will be [tex]56x^6y^5z^3[/tex] feet

Learn more on area and perimeter of square here: https://brainly.com/question/25092270

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