Let's analyze and solve the given questions:

3.1.2 Determine the area of the kitchen floor. Express the answer in square meters.

The kitchen is shown as a rectangular shape in the diagram with the dimensions of 3.5 m by 4 m.

To calculate the area of a rectangle, you use the formula: $\text{Area} = \text{Length} \times \text{Width}$

Substituting the given values: $\text{Area of the kitchen} = 3.5 \, \text{m} \times 4 \, \text{m} = 14 \, \text{m}^2$

So, the area of the kitchen floor is 14 square meters.

3.1.3 Determine how many tiles with a size of 0.25 m by 0.25 m are needed to tile the kitchen.

First, calculate the area of one tile: $\text{Area of one tile} = 0.25 \, \text{m} \times 0.25 \, \text{m} = 0.0625 \, \text{m}^2$

Now, divide the area of the kitchen by the area of one tile to find the number of tiles needed: $\text{Number of tiles} = \frac{\text{Area of the kitchen}}{\text{Area of one tile}} = \frac{14 \, \text{m}^2}{0.0625 \, \text{m}^2} = 224$

Thus, 224 tiles are required to cover the kitchen floor.

Would you like more details on these calculations or have any other questions?

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Here are five related questions:

1. How do you calculate the perimeter of a rectangular room?
2. If the tiles cost $2 each, what would be the total cost to tile the kitchen?
3. How would you calculate the area if the kitchen had a non-rectangular shape?
4. What would be the total area if a different room with dimensions 5 m by 6 m was added to the kitchen?
5. If each tile is 1 cm thick, what would be the total volume of all the tiles required?

Tip: When working with tiles, always consider buying a few extra tiles to account for cutting errors or future repairs.