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The image shows a math problem related to ratios involving land area and the number of houses that can be built. Here’s a summary of the questions in the problem:

1. **a.** Write the ratio of land area to the number of houses in its simplest form.
2. **b.** How many houses can be built if Mr. Tono has 4 square kilometers of land?
3. **c.** If Mr. Tono plans to build 32 houses, how much land area will be needed?
4. **d.** Mention three equivalent ratios for the ratio 10:4.

Let's solve each part step-by-step.

### Solution:

1. **a. Simplify the Ratio of Land Area to Number of Houses:**
   - Mr. Tono has 2 square kilometers of land and can build 8 houses.
   - The ratio is \( 2 \, \text{km}^2 : 8 \, \text{houses} \).
   - Simplifying by dividing both terms by 2: 
   \[
   \frac{2}{2} : \frac{8}{2} = 1 : 4
   \]
   So, the simplified ratio is **1 : 4**.

2. **b. Number of Houses with 4 km² of Land:**
   - If 2 km² supports 8 houses, then 4 km² will support:
   \[
   \text{Number of houses} = 8 \times \frac{4}{2} = 16
   \]
   Therefore, Mr. Tono can build **16 houses**.

3. **c. Land Area Required for 32 Houses:**
   - The ratio is 1 km² per 4 houses.
   - For 32 houses:
   \[
   \text{Land area} = \frac{32}{4} = 8 \, \text{km}^2
   \]
   So, Mr. Tono will need **8 km²** of land.

4. **d. Three Equivalent Ratios to 10:4:**
   - Simplify 10:4 by dividing both terms by 2: 
   \[
   \frac{10}{2} : \frac{4}{2} = 5 : 2
   \]
   - Some equivalent ratios to 10:4 or 5:2 are:
     1. \( 15 : 6 \)
     2. \( 20 : 8 \)
     3. \( 25 : 10 \)

If you would like a more detailed explanation or have any questions, please let me know!

### Follow-up Questions:

1. How can we find the ratio of houses to land instead of land to houses?
2. What would be the ratio of houses if the land area increased by 50%?
3. How would the number of houses change if each house required 0.3 km² instead?
4. How can we express the ratio 4:10 in decimal form?
5. What is the general method to find equivalent ratios for any given ratio?

### Tip:
Always remember to simplify ratios by dividing both terms by their greatest common divisor to find the simplest form.

Pak Tono memiliki lahan seluas 2 km² yang diperkirakan dapat dibangun 8 rumah. Jawaban pertanyaan: a. Tuliskan rasio lahan dan rumah dalam bentuk yang paling sederhana. b. Berapa rumah yang dapat dibangun jika Pak Tono memiliki lahan 4 km²? c. Jika Pak Tono akan membangun 32 rumah maka membutuhkan lahan seluas? d. Sebutkan 3 persamaan dari rasio 10 : 4!

Learn how to solve a real-world ratio problem involving Pak Tono's land area and house count. This problem includes steps to simplify ratios, calculate land area and house count, and determine equivalent ratios.

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