Question

You are preparing to tile the floor of a rectangular room that is 15? feet by 18? feet in size. The tiles you plan to use are square, measuring 12 inches on each side, and are sold in boxes that contain enough tile to cover 25 square feet. How many boxes of tiles must you buy?

Answer 1

The number of boxes we need to buy are: 11

Explanation:

It is given that:

You are preparing to tile the floor of a rectangular room that is 15 feet by 18 feet in size.

i.e. Area of floor=15×18=270 square feet.

The tiles you plan to use are square, measuring 12 inches on each side.

We know that 1 feet=12 inches.

Hence, square tile has a length measuring: 1 feet

Also, area of 1 square tile= 1²=1 square feet.

Hence, number of tiles required is the ratio of the area of floor to area of 1 tile.

i.e.

Number of tiles required= (270)/1= 270 tiles.

( since the area of a square of side length l feet is given by: l² square feet )

Now, it is given that:

Each box contain tiles that cover 25 square feet.

This means that the number of tiles which cover 25 square feet= 25 tiles.

Hence, number of tiles in one box=25

Hence, total number of bags required= 270/25=10.8

which is approximately 11 boxes.

Answer 2

11 boxes

Explanation:

The area of the floor is the product of its length and width:

... (15 ft)·(18 ft) = 270 ft²

Then the number of boxes required will be the integer number equal to or just greater than ...

... 270 ft²/(25 ft²/box) = 10.8 boxes

11 boxes are required.