In the scale used on a blueprint, 14
 inch represents 2
 feet.

On the blueprint what is the length of a room with an actual length of 20
 feet?
A.2 14
 in.
B.10
 in.
C.5
 in.
D.2 12
 in.

The blueprint uses a scale where \( \frac{1}{4} \) inch represents 2 feet. We need to find the length on the blueprint for a room with an actual length of 20 feet.

### Step-by-Step Calculation:

1. **Determine the scale factor:**
   The scale is given as \( \frac{1}{4} \) inch per 2 feet. This means the ratio of inches to feet is:
   \[
   \frac{\frac{1}{4} \text{ inch}}{2 \text{ feet}} = \frac{1}{8} \text{ inch per foot}.
   \]

2. **Use the scale factor to find the blueprint length:**
   For an actual length of 20 feet, multiply 20 by the scale factor \( \frac{1}{8} \):
   \[
   20 \times \frac{1}{8} = \frac{20}{8} = 2.5 \text{ inches}.
   \]

Thus, the length of the room on the blueprint is **2.5 inches**, which can also be expressed as **2 1/2 inches**.

### Final Answer:
The correct choice is:
**D. 2 1/2 in.**

Would you like further details on this or any other clarifications?

Here are 5 related questions for practice:
1. If the scale was \( \frac{1}{2} \) inch represents 3 feet, how long would the room be on the blueprint?
2. What is the actual length of a room if it measures 5 inches on the blueprint at the same scale?
3. How would you convert a scale ratio from inches to centimeters?
4. If the room's actual width is 15 feet, how wide would it appear on the blueprint?
5. How does changing the scale affect the size of objects on the blueprint?

**Tip:** Always check units carefully when working with scale ratios to avoid errors.

In the scale used on a blueprint, 1/4 inch represents 2 feet. On the blueprint, what is the length of a room with an actual length of 20 feet? A. 2 1/4 in. B. 10 in. C. 5 in. D. 2 1/2 in.

Learn how to solve a scale conversion problem where 1/4 inch represents 2 feet on a blueprint. Find the blueprint length of a room with an actual length of 20 feet using ratios and proportions. Suitable for students in Grades 6-8.

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