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 centimeters.

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

A.
55 cm


B.
64 cm


C.
20 cm


D.
16 cm



To find the length of the building on the scale drawing, we can use the concept of proportionality.

We are given:
- Actual height of the building: 125 meters
- Actual length of the building: 80 meters
- Height on the scale drawing: 25 centimeters

The ratio of the height in the drawing to the actual height is:

\[
\frac{\text{Height on the drawing}}{\text{Actual height}} = \frac{25 \, \text{cm}}{125 \, \text{m}}
\]

Since 1 meter = 100 centimeters, convert the actual height to centimeters:

\[
\frac{25 \, \text{cm}}{12500 \, \text{cm}} = \frac{1}{500}
\]

The scale is 1:500, meaning every 500 units in real life corresponds to 1 unit on the drawing.

Now apply this scale to the actual length of the building:

\[
\text{Length on the drawing} = \frac{80 \, \text{m}}{500}
\]

Convert the actual length of 80 meters to centimeters:

\[
\text{Length on the drawing} = \frac{8000 \, \text{cm}}{500} = 16 \, \text{cm}
\]

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

The correct answer is:

**D. 16 cm**

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Would you like more details or have any questions?

Here are 5 related questions:
1. What is the importance of maintaining the same scale ratio in all parts of a drawing?
2. How would the drawing change if the scale were 1:1000?
3. What would the height of the building be if the scale drawing was 10 cm tall?
4. How would you calculate the area of the building in the scale drawing?
5. If the building's width were 50 meters, what would be the width on the drawing?

**Tip:** Always convert all measurements to the same unit before calculating proportions.

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 centimeters. What is the length of the building on the scale drawing in centimeters?

A. 55 cm
B. 64 cm
C. 20 cm
D. 16 cm

Learn how to calculate the length of a building on a scale drawing, given the height and scale ratio. This problem covers proportionality, unit conversion, and understanding scale drawings, making it suitable for Grades 6-8.

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