In the scale used on a blueprint, 1414 inch represents 22 feet.
On the blueprint what is the length of a room with an actual length of 2020 feet?

To solve this, we can use the scale provided to create a proportion.

Given that:
- \( 1414 \) inches on the blueprint represents \( 22 \) feet in real life,
- we want to find how many inches \( x \) on the blueprint represent \( 2020 \) feet in real life.

The proportion is set up as:

\[
\frac{1414 \text{ inches}}{22 \text{ feet}} = \frac{x \text{ inches}}{2020 \text{ feet}}
\]

Now, solve for \( x \):

\[
x = \frac{1414 \times 2020}{22}
\]

\[
x = \frac{2852280}{22}
\]

\[
x = 129649.09 \text{ inches}
\]

So, the length of the room on the blueprint is approximately \( 129649.09 \) inches.

Would you like further details or explanations?

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Here are 5 related questions to consider:
1. How would you convert inches to feet on the blueprint?
2. How can you calculate the actual size if only the blueprint size is known?
3. If the scale were different, say \( 100 \) inches represents \( 50 \) feet, how would that change the result?
4. What if you need the width of a room, how would you apply the same principle?
5. How can you simplify proportions to make these calculations faster?

**Tip:** Always keep track of units when working with proportions to avoid confusion between blueprint measurements and actual dimensions.

In the scale used on a blueprint, 1414 inch represents 22 feet. On the blueprint what is the length of a room with an actual length of 2020 feet?

Learn how to solve a blueprint scaling problem where 1414 inches on a blueprint represent 22 feet in real life. This step-by-step solution explains how to find the length of a room on the blueprint when the actual length is 2020 feet. Suitable for Grades 9-12, covering proportions and scaling.

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