Question

An architect makes a blueprint with a scale of 1/4 in equals 2 ft, which will be the dimensions of the drawing of the warehouse room measuring 60 ft by 100 ft

Answer 1

To determine the dimensions of the blueprint for a warehouse room measuring 60 feet by 100 feet using the given scale of 1/4 inch equals 2 feet, we can follow these steps:

1. **Convert the actual dimensions of the warehouse to the blueprint dimensions using the scale**:
- The scale 1/4 inch = 2 feet can be used to find out how many inches represent the actual dimensions of the warehouse.

2. **Calculate the width (60 ft)**:
- First, we need to determine how many 2 ft units are in 60 ft:
\[
\text{Number of 2 ft units} = \frac{60 \text{ ft}}{2 \text{ ft/unit}} = 30 \text{ units}
\]
- Now, convert the 30 units to inches using the scale (since each unit corresponds to 1/4 inch):
\[
\text{Blueprint width} = 30 \text{ units} \times \frac{1}{4} \text{ inch/unit} = 7.5 \text{ inches}
\]

3. **Calculate the length (100 ft)**:
- Now, find out how many 2 ft units are in 100 ft:
\[
\text{Number of 2 ft units} = \frac{100 \text{ ft}}{2 \text{ ft/unit}} = 50 \text{ units}
\]
- Convert the 50 units to inches:
\[
\text{Blueprint length} = 50 \text{ units} \times \frac{1}{4} \text{ inch/unit} = 12.5 \text{ inches}
\]

4. **Final dimensions on the blueprint**:
- The dimensions of the blueprint for the warehouse room will be:
- Width: 7.5 inches
- Length: 12.5 inches

Therefore, the drawing of the warehouse room will measure **7.5 inches by 12.5 inches** on the blueprint.