Question: User: Scale:
1 inch : 3 feet
Use the scale to
calculate the width of
the living room.
Blueprint Area
25 in²
Actual Area
[ ] ft²
5 in
5 in
[?] ft
[ ] ft
top-left: Scale box with “1 inch : 3 feet”.
center-left: Blueprint area square labeled 25 in² with a square room diagram, 5 in on the left and 5 in on the bottom.
center-right: Actual area label with a blank box followed by ft², and a room photo with blank labels “[?] ft” on the left and “[ ] ft” on the bottom.
1. **State the problem:** We have a scale of $1$ inch representing $3$ feet. The blueprint shows a square room with side length $5$ inches and area $25$ in². We need to find the actual width of the living room in feet.
2. **Understand the scale:** Each inch on the blueprint corresponds to $3$ feet in reality.
3. **Calculate the actual width:**
$$\text{Actual width} = 5 \text{ inches} \times 3 \frac{\text{feet}}{\text{inch}} = 15 \text{ feet}$$
4. **Calculate the actual area:**
Since the room is square, the actual area is:
$$\text{Actual area} = (15 \text{ feet}) \times (15 \text{ feet}) = 225 \text{ ft}^2$$
5. **Summary:**
- Blueprint width = $5$ inches
- Scale = $1$ inch : $3$ feet
- Actual width = $15$ feet
- Actual area = $225$ ft²
**Final answer:** The width of the living room is $15$ feet and the actual area is $225$ ft².