A bathroom floor will be tiled with square tiles that are 2" per side. If the bathroom floor is a rectangle that is 5' by 8', how many tiles will be purchased?

To find how many square tiles will be needed, we need to calculate the total area of the bathroom floor and divide that by the area of one tile. Here's the step-by-step process:

### Step 1: Convert the dimensions of the bathroom floor into inches.
Since the dimensions are given in feet, we need to convert them to inches:
- $ 5 \, \text{feet} = 5 \times 12 = 60 \, \text{inches} $
- $ 8 \, \text{feet} = 8 \times 12 = 96 \, \text{inches} $

Thus, the dimensions of the bathroom floor are 60 inches by 96 inches.

### Step 2: Calculate the area of the bathroom floor.
The area of a rectangle is given by multiplying the length and the width:
\[
\text{Area of floor} = 60 \, \text{inches} \times 96 \, \text{inches} = 5760 \, \text{square inches}
\]

### Step 3: Calculate the area of one tile.
Each tile is a square with sides of 2 inches. So, the area of one tile is:
\[
\text{Area of one tile} = 2 \, \text{inches} \times 2 \, \text{inches} = 4 \, \text{square inches}
\]

### Step 4: Calculate the number of tiles needed.
To find the total number of tiles, divide the total area of the floor by the area of one tile:
\[
\text{Number of tiles} = \frac{5760 \, \text{square inches}}{4 \, \text{square inches}} = 1440 \, \text{tiles}
\]

Thus, **1,440 tiles** will be needed to tile the bathroom floor.

Would you like further details on any of these steps or have additional questions?

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Here are 5 related questions:
1. What if the tile size was 4 inches per side instead of 2 inches?
2. How would the calculation change if the bathroom floor had a non-rectangular shape?
3. How many tiles would you need if a 10% wastage was factored in?
4. What is the cost if each tile costs $0.50?
5. How many tiles would be needed for a bathroom twice the size?

**Tip:** Always double-check unit conversions, as errors here can lead to incorrect results.

Learn how to calculate the number of 2-inch square tiles needed for a 5' by 8' bathroom floor with this step-by-step guide. This problem covers key mathematical concepts like unit conversion and area calculation, suitable for students in Grades 5-7.

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