Scale Drawings Math Example 2

Solution

1. 1
   Step 1: Find the scale factor: $\frac{1}{4}$ inch represents 1 foot, so 1 inch represents 4 feet.
2. 2
   Step 2: Convert dimensions. Length: $3.5 \text{ in} \times 4 = 14$ ft. Width: $2 \text{ in} \times 4 = 8$ ft.
3. 3
   Step 3: The actual room dimensions are $14$ ft $\times$ $8$ ft.
4. 4
   Step 4: Actual area $= 14 \times 8 = 112$ ft². (Note: area scales by the square of the scale factor, so drawing area $= 3.5 \times 2 = 7$ in² and $7 \times 4^2 = 7 \times 16 = 112$ ft², confirming the answer.)