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The problem described in the image asks us to calculate the number of ceramic tiles required to cover the floor area of a building, excluding a stage that occupies \( \frac{1}{8} \) of the total floor area.

Let's break this down:

### Given Information:
1. **Total floor area of the building:** \( 128 \, \text{m}^2 \)
2. **Ratio of length to width:** \( 2:1 \)
3. **Stage area:** \( \frac{1}{8} \) of the total area of the building
4. **Tile dimensions:** \( 40 \, \text{cm} \times 20 \, \text{cm} = 0.4 \, \text{m} \times 0.2 \, \text{m} \)
5. **Ignore wall tiling for this calculation.**

### Step-by-Step Solution:

1. **Calculate the area of the stage:**
   \[
   \text{Stage area} = \frac{1}{8} \times 128 \, \text{m}^2 = 16 \, \text{m}^2
   \]

2. **Calculate the usable floor area (without the stage):**
   \[
   \text{Usable area} = 128 \, \text{m}^2 - 16 \, \text{m}^2 = 112 \, \text{m}^2
   \]

3. **Calculate the area of one tile:**
   \[
   \text{Tile area} = 0.4 \, \text{m} \times 0.2 \, \text{m} = 0.08 \, \text{m}^2
   \]

4. **Determine the total number of tiles required:**
   \[
   \text{Number of tiles} = \frac{112 \, \text{m}^2}{0.08 \, \text{m}^2} = 1400
   \]

Thus, the total number of tiles required is **1400**.

### Answer:
The correct option is **C) 1400**.

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Would you like further explanation on any part of the solution?

Here are 5 related questions to expand your understanding:
1. How would the number of tiles change if the stage took up \( \frac{1}{4} \) of the total floor area?
2. How do changes in tile size affect the total number of tiles required?
3. What would be the length and width of the building based on the given ratio?
4. If the tile cutting was not allowed, how would this affect the solution?
5. How many tiles would be needed if the stage was also tiled?

**Tip:** When dealing with ratio problems, always verify if the ratio applies to the entire area or just a portion of it.

Sebuah gedung mempunyai luas 128 m^2 dengan tinggi gedung 5 m. Perbandingan panjang dan lebar gedung adalah 2:1. Dalam gedung tersebut terdapat panggung dengan luas 1/8 dari luas seluruh lantai gedung. Semua lantai gedung akan dipasang keramik dengan ukuran 40 cm x 20 cm. Berapakah jumlah keramik yang dipasang di semua lantai gedung (tanpa panggung)?

Learn how to calculate the number of ceramic tiles required to cover a floor, excluding a stage that occupies 1/8 of the total area. This problem involves calculating areas and working with ratios. Suitable for students in Grades 10-12.

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