Question

Joanna wants to tile a square floor that measures 8 feet on one side. If each tile is a 6-inch square, howmany tiles will she need for the floor?O 64 tilesO 192 tiles0 256 tiles0 324 tiles

Answer 1

The side of square floor is a = 8 feet.

The side of square tile is s = 6 inch.

Determine the area of square floor in term of inch square.

$\begin{gathered} A=(8\text{ feet}\cdot\frac{12\text{ inch}}{1\text{ feet}})\times(8\text{ feet}\cdot\frac{12\text{ inch}}{1\text{ feet}}) \\ =9216\text{ inch square} \end{gathered}$

Determine the area of square tile in terms of inch square.

$\begin{gathered} a=6\text{ inch}\cdot6\text{ inch} \\ =36\text{ inch square} \end{gathered}$

Determine the number of tile required for the floor.

$\begin{gathered} n=\frac{A}{a} \\ =\frac{9216}{36} \\ =256 \end{gathered}$

So 256 tiles required for the floor.

Answer: 256 tiles