A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 cm.

What is the length of the building on the scale drawing?

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The length of the building on the scale drawing is (Select)55162064

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  centimeters.

To solve this, we can use the concept of proportions since the scale drawing maintains the same ratio between the height and the length of the building.

### Step-by-Step Calculation:

1. **Actual height of the building:** 125 meters
2. **Height on the scale drawing:** 25 cm
3. **Actual length of the building:** 80 meters
4. **Let the length on the scale drawing be \( L \) cm.**

The proportion between the height and the length in the actual building should be the same in the scale drawing. Thus, we set up the proportion:

\[
\frac{125 \, \text{m}}{80 \, \text{m}} = \frac{25 \, \text{cm}}{L \, \text{cm}}
\]

Now, solve for \( L \):

\[
\frac{125}{80} = \frac{25}{L}
\]

Cross-multiply:

\[
125L = 80 \times 25
\]

\[
125L = 2000
\]

Now divide by 125:

\[
L = \frac{2000}{125} = 16 \, \text{cm}
\]

### Conclusion:
The length of the building on the scale drawing is **16 centimeters**.

Would you like more details or have any questions?

Here are five related questions to think about:
1. How would the scale change if the building’s height on the drawing was 50 cm instead of 25 cm?
2. How can you convert the dimensions from meters to centimeters without using proportions?
3. What other applications use scale drawings besides architecture?
4. How would you calculate the area of the building in both real-life and the scale drawing?
5. How does the scale factor relate to similar figures?

**Tip:** Always check that the ratio of real dimensions matches the ratio in the scale drawing for accuracy!

A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 cm. What is the length of the building on the scale drawing?

Learn how to solve a scale drawing problem where the actual height of a building is 125 meters and the length is 80 meters. The height on the scale drawing is 25 cm, and we calculate the length on the scale drawing using proportions. This is suitable for students in Grades 6-8.

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