https://file.aiquickdraw.com/mathbot/file/1729793240152p5cuuw3q.jpg

To solve the problem:

We know the following:

- The actual building's height is 125 meters.
- The height on the scale drawing is 25 cm.
- The actual length of the building is 80 meters.

First, calculate the scale factor. The scale factor is the ratio between the actual height and the height in the drawing:
\[
\text{Scale Factor} = \frac{\text{Actual Height}}{\text{Height on Drawing}} = \frac{125 \, \text{m}}{25 \, \text{cm}}.
\]
Convert meters to centimeters for consistency:
\[
125 \, \text{m} = 125 \times 100 = 12500 \, \text{cm}.
\]
Now, the scale factor becomes:
\[
\text{Scale Factor} = \frac{12500 \, \text{cm}}{25 \, \text{cm}} = 500.
\]

The scale factor is 500, meaning 1 cm on the drawing represents 500 cm (or 5 meters) in real life.

Now, use this scale factor to find the length of the building on the scale drawing. Since the actual length is 80 meters, convert that to centimeters:
\[
80 \, \text{m} = 80 \times 100 = 8000 \, \text{cm}.
\]

Now, divide the actual length by the scale factor:
\[
\text{Length on Drawing} = \frac{8000 \, \text{cm}}{500} = 16 \, \text{cm}.
\]

So, the length of the building on the scale drawing is **16 cm**.

Would you like more details or have any questions?

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Here are 5 related questions for further practice:
1. What would the width of the building be on the scale drawing if the actual width is 50 meters?
2. How would the scale factor change if the height on the drawing was 20 cm instead of 25 cm?
3. If the building was represented on another scale drawing where the height is 30 cm, what would the length be on this new drawing?
4. How do you convert from centimeters to meters and vice versa in problems like this?
5. If a smaller building is 60 meters long and is drawn at the same scale, what would its length be on the drawing?

**Tip:** Always ensure units are consistent when calculating scale ratios (e.g., convert everything to centimeters or meters).

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 calculate the length of a building on a scale drawing when given the actual dimensions and the scale. The building has an actual height of 125 meters and length of 80 meters, with a scale drawing height of 25 cm. This problem uses ratio and proportion calculations and is suitable for students in Grades 6-8.

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