Question

A package of floor tiles contains 24 one foot tiles. Find how many packages should be bought to cover a square ballroom floor whose side measures 64 feet.

Answer 1

To cover a square ballroom 171 packages of tiles are required.

Explanation:

Given:

1 package = 24 tiles.

Size of tile = 1 foot

Tiles are in square shape.

Hence Area of Tile =
`side^2 =1^2 = 1 ft^2`

Also Given:

Side of the ballroom = 64 feet.

Ballroom floor is in square shape.

Hence we will find the Area of ballroom.

Area of ballroom =
`side^2`

Are of ballroom =
`64^2= 4096`

Now we will find the Number of tiles required to cover ballroom.

Number of tiles required is equal to Area of ballroom divided by Area of Tile.

Framing in equation form we get;

Number of tiles required =
`(4096)/(1) =4096`

Now Given that

1 package contains = 24 tiles

Number of packages required = 4096 tiles

By using Unitary method we get;

Number of packages required =
`(4096)/(24) = 170.67 \approx171`

Hence To cover a square ballroom 171 packages of tiles are required.