Answer:
Width = 7.3 feet
Explanation:
Step 1: Find the scale of the drawing:
- The scale is the ratio of the length of the drawing to the actual length of the room.
- In this case, the scale is 5 3/4 in / 124 ft.
Step 2: Convert feet to inches:
- Since we need to work with the same units, let's convert feet to inches: 1 ft = 12 in, so 124 ft = 124 * 12 in = 1488 in.
- Now, the scale is (5 3/4 in) / (1488 in).
Step 3: Simplify the fraction:
- Simplifying this fraction, we get (23/4) / (1488) = 23 / (4 * 1488) = 23 / 5952.
Thus, the simplified fraction is 23/5952.
Step 4: Find the actual width of the room:
- The actual width is the width of the drawing divided by the scale: (3 3/8 in) / (23 / 5952).
Step 5: Simplify the fraction:
- Simplifying this fraction, we get: (27/8 in) / (23 / 5952) = (27/8) * (5952/23) in = (27 * 5952) / (8 * 23) in ≈ 87.30434782608696 in.
Step 6: Convert inches to feet:
- Converting inches to feet, we get `87.30434782608696 in = 87.30434782608696 / 12 ft ≈ 7.27536231884058 ft`.
Step 7: Round to the nearest tenth of a foot:
Rounding to the nearest tenth of a foot, we get **7.3 ft**.
Thus, the actual width of the room is about 7.3 ft.