Subjects geometry

Bedroom Area 5642A8

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1. **State the problem:** We have a scale drawing where 2 cm represents 3 m. The bedroom is a rectangle with dimensions 2 cm by 4 cm in the drawing. We need to find the actual area of the bedroom in square meters. 2. **Understand the scale:** The scale means every 2 cm in the drawing corresponds to 3 m in reality. 3. **Find the real dimensions:** - The bedroom length in the drawing is 2 cm, so real length is $$\frac{3}{2} \times 2 = 3$$ m. - The bedroom width in the drawing is 4 cm, so real width is $$\frac{3}{2} \times 4 = 6$$ m. 4. **Calculate the area:** - Area of a rectangle is length times width. - So, real area $$= 3 \times 6 = 18$$ m². 5. **Final answer:** The area of the real bedroom is **18 m²**.