If there are 15 tiles in each box, how many boxes of tile does Sarah need for her bathroom floor? (Rest of details of the question is below.)Sarah is laying new tile on her bathroom floor. The...

If there are 15 tiles in each box, how many boxes of tile does Sarah need for her bathroom floor? (Rest of details of the question is below.)

Sarah is laying new tile on her bathroom floor. The floor is rectangular and measures 4' by 7'. Th tiles are square and measure 8' on each side.

Asked on by lastwriter

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

The floor measures 4 by 7 .

We need to find the number of (8x8) tiles to cover the floor.

I am assuming the the tiles measure 8" ( 8 inches)

We will convert the sides of the floor to inches.

We know that 1 foot = 12 in.

==> The width = 4 ft = 4*12 = 48 in.

==> Then we need 48/8 tiles = 6 tiles for the width.

==> The length = 7 ft = 7*12 in = 84 in.

==> Then we need 84/8 tiles = 10.5 tiles.

Then the total number of tiles to cover the area is 6*10.5 = 63 tiles.

Each box contains 15 tiles.

==> 4 boxes contains 4*15 = 60 tiles.

==> 5 boxes contains 5*15 = 75 tiles

Then we need 5 boxes to cover the floor.

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

Sarah is laying tiles on her floor which is a rectangle with dimensions: 4' * 7'

Each tile is a square with dimensions 8" * 8"

The area of the floor is 4*12*12*7 = 4032 square inches.

The area of each tile is 8*8 = 64 square inches.

This gives the number of tiles required to cover the floor as 4032/64 = 63.

As each box has 15 tiles she would need 5 boxes so that she does not fall short of tiles, as 4 boxes only contain 60 tiles.

TheĀ  required number of boxes of tiles is 5.

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