Mr. Marsh plans to tile the floor in his 6-foot by 8-foot front hall. If each tile is an 8-inch square. what is the minimum number of tiles needed to cover the floor?

Respuesta :

The division is one of the four fundamental arithmetic operations. The number of tiles that will be needed to cover the entire area of the hall is 864.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The area of the hall with dimensions 6 feet by 8 feet are:

[tex]\rm \text{Area of the hall} = 6 feet \times 8foot =48\ feet^2[/tex]

The area of the tile is 8 square inches, therefore, the area of tile in square feet can be written as,

[tex]\rm \text{Area of the tile} = \dfrac8{12 \times 12}\ feet^2[/tex]

Noe, the number of tiles needed to tile the complete area of the hall is,

[tex]\text{Number of tiles needed} = \dfrac{\text{Area of the hall}}{\text{Area of the tile}}\\\\\\\text{Number of tiles needed} = \dfrac{48}{\frac8{12 \times 12}} = \dfrac{48 \times 12 \times 12}{8} = 864[/tex]

Hence, the number of tiles that will be needed to cover the entire area of the hall is 864.

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