1. **State the problem:** We have a large stained glass window and a smaller scale drawing of it. The actual window has an area of 680 m². We need to find the area of the scale drawing in m², rounded to 3 decimal places.
2. **Identify the scale factor:** The actual window height is 28 m, and the drawing height is 70 cm = 0.7 m.
3. **Calculate the linear scale factor:**
$$\text{scale factor} = \frac{\text{drawing height}}{\text{actual height}} = \frac{0.7}{28} = 0.025$$
4. **Use the area scale factor:** Areas scale by the square of the linear scale factor.
$$\text{area scale factor} = (0.025)^2 = 0.000625$$
5. **Calculate the drawing area:**
$$\text{drawing area} = \text{actual area} \times \text{area scale factor} = 680 \times 0.000625 = 0.425$$
6. **Round the answer:**
$$0.425 \text{ m}^2$$
**Final answer:** The area of the drawing is **0.425 m²** to 3 decimal places.
Window Area C6Ad53
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