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 set up a proportion based on the fact that the scale drawing keeps the height and length of the building in the same ratio.

Given:
- Actual height of the building = 125 meters
- Height on the scale drawing = 25 cm
- Actual length of the building = 80 meters

We want to find the length on the scale drawing, \( L_{drawing} \), in centimeters.

We can set up the following proportion:

\[
\frac{125 \text{ meters}}{25 \text{ cm}} = \frac{80 \text{ meters}}{L_{drawing}}
\]

First, convert the height of the building from meters to centimeters:
\[
125 \text{ meters} = 12500 \text{ cm}
\]

So the proportion becomes:

\[
\frac{12500}{25} = \frac{8000}{L_{drawing}}
\]

Simplifying:

\[
500 = \frac{8000}{L_{drawing}}
\]

Now solve for \( L_{drawing} \):

\[
L_{drawing} = \frac{8000}{500} = 16 \text{ cm}
\]

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

Let me know if you'd like more details, or have any questions!

Here are five related questions:
1. What would be the length of the building on the scale drawing if the height were 30 cm?
2. How would you calculate the scale used in this drawing?
3. If the actual building's length changed to 100 meters, what would the new length be on the scale drawing?
4. How could you convert the scale of the drawing into a ratio (e.g., 1:500)?
5. What would happen to the length in the drawing if the height of the drawing were halved?

**Tip:** Always make sure to convert all units to the same type (e.g., meters to centimeters) when setting up a proportion.

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?

Solve a proportion-based problem involving a building with a height of 125 meters and a length of 80 meters. Learn how to determine the length on the scale drawing when the height is scaled to 25 cm. This solution explains proportions, unit conversions, and is suitable for Grades 6-8.

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