Question

question
janna wants to tile a square floor that measures 8 feet on one side. if each tile is a 6 - inch square, how many
will she need for the floor?
84 tiles
182 tiles
256 tiles
324 tiles

Explanation:

Step1: Convert floor side length to inches

Since \(1\) foot \( = 12\) inches, a side of \(8\) feet is \(8\times12=96\) inches.

Step2: Calculate floor area

The area of the square floor \(A_{floor}=s^{2}\), where \(s = 96\) inches. So \(A_{floor}=96\times96\) square inches.

Step3: Calculate tile area

The area of a square tile with side \(s_{tile}=6\) inches is \(A_{tile}=6\times6\) square inches.

Step4: Find number of tiles

Number of tiles \(n=\frac{A_{floor}}{A_{tile}}=\frac{96\times96}{6\times6}\).

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Answer:

C. 256 tiles