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?

Use the drop-down to complete the sentence.

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

To find the length of the building on the scale drawing, we need to maintain the same proportion as given for the height.

### Given:
- Actual height: 125 m
- Scale drawing height: 25 cm
- Actual length: 80 m

We are looking for the scale drawing length, which we'll call \( L_{\text{drawing}} \).

### Step 1: Set up the proportion between height and length.
\[
\frac{\text{Height on drawing}}{\text{Actual height}} = \frac{\text{Length on drawing}}{\text{Actual length}}
\]

### Step 2: Substitute the given values.
\[
\frac{25}{125} = \frac{L_{\text{drawing}}}{80}
\]

### Step 3: Solve for \( L_{\text{drawing}} \).
\[
L_{\text{drawing}} = \frac{25}{125} \times 80
\]
\[
L_{\text{drawing}} = \frac{1}{5} \times 80
\]
\[
L_{\text{drawing}} = 16 \text{ cm}
\]

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

Would you like further details or have any questions about this? Here are some related questions:

1. How do we determine scale factors in scale drawings?
2. What is the ratio between the actual building and the scale drawing?
3. If the actual building’s dimensions change, how does it affect the scale drawing?
4. How can we find the scale of the drawing in terms of 1 unit on paper to the real world?
5. How would this method change if given the scale directly?

**Tip:** When working with scale drawings, always set up a proportion between the real and scaled values to maintain 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 calculate the length of a building on a scale drawing when the actual height and length are provided. This problem involves setting up a proportion to maintain the correct scale between the drawing and the real building dimensions. Suitable for students in Grades 6-8.

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