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.

We are given the actual height of the building as 125 meters and its height in the scale drawing as 25 cm. To find the length of the building on the scale drawing, we can use the proportionality of the scale.

The scale ratio is based on the height:

\[
\frac{\text{Height in drawing}}{\text{Actual height}} = \frac{\text{Length in drawing}}{\text{Actual length}}
\]

Substituting the given values:

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

Solving for \(x\) (the length in the drawing):

\[
x = \frac{25}{125} \times 80 = \frac{1}{5} \times 80 = 16 \, \text{cm}
\]

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

Would you like more details on how this proportion works, or do you have any other questions?

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Here are 5 related questions:
1. How do you determine the scale ratio between two dimensions?
2. What would be the scale factor of this drawing?
3. If the length of the building were 120 meters instead of 80 meters, what would be the new length in the drawing?
4. How could you convert the drawing’s dimensions back to actual building measurements?
5. How would the problem change if the height of the drawing were in millimeters instead of centimeters?

**Tip:** Always check that all units are consistent when working with proportions to avoid mistakes.

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 determine the length of a building on a scale drawing given its actual dimensions. This problem uses proportions to solve for the unknown length, using a height of 125 meters and length of 80 meters. The height on the scale drawing is 25 cm, and the solution is suitable for students in Grades 6-8.

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