1. **Problem Statement:** Design orthogonal, isometric, and perspective drawings of a greenhouse with given dimensions and scales. 2. **Given Data:** - Width: 200 to 300 cm - Length: 300 to 400 cm - Height: 250 to 300 cm - Roof slope (rise/run) = 0.5 - Door size: 100 cm by 200 cm - Scales: - Orthogonal views: 1 cm : 40 cm or 1 cm : 50 cm - Isometric drawing: 1 : 20 cm - Perspective drawing: 1 cm : 40 cm for front face 3. **Step 1: Choose specific dimensions within given ranges for clarity.** - Length = 400 cm - Width = 300 cm - Height = 300 cm 4. **Step 2: Calculate roof rise and run.** - Roof slope = rise/run = 0.5 - Assume run = half width = 150 cm - Then rise = 0.5 \times 150 = 75 cm - Total height including roof peak = 300 + 75 = 375 cm 5. **Step 3: Orthogonal drawings (front, side, top) at scale 1 cm : 40 cm.** - Front view dimensions: - Width = 300 cm \Rightarrow \frac{300}{40} = 7.5 \text{ cm} - Height = 375 cm \Rightarrow \frac{375}{40} = 9.375 \text{ cm} - Door: 100 cm by 200 cm \Rightarrow \frac{100}{40} = 2.5 \text{ cm} \text{ wide}, \frac{200}{40} = 5 \text{ cm} \text{ tall} - Side view dimensions: - Length = 400 cm \Rightarrow \frac{400}{40} = 10 \text{ cm} - Height = 375 cm \Rightarrow 9.375 \text{ cm} - Top view dimensions: - Length = 400 cm \Rightarrow 10 \text{ cm} - Width = 300 cm \Rightarrow 7.5 \text{ cm} 6. **Step 4: Isometric drawing at scale 1 : 20 cm.** - Length = 400 cm \Rightarrow \frac{400}{20} = 20 \text{ units} - Width = 300 cm \Rightarrow 15 \text{ units} - Height = 300 cm \Rightarrow 15 \text{ units} - Roof rise = 75 cm \Rightarrow 3.75 \text{ units} 7. **Step 5: Perspective drawing** - Use horizon line and vanishing point as given. - Front face scaled 1 cm : 40 cm (same as orthogonal front view). - Draw front face 7.5 cm wide by 9.375 cm tall. **Summary:** - Orthogonal front view: rectangle 7.5 cm wide, 9.375 cm tall with door 2.5 cm by 5 cm. - Orthogonal side view: rectangle 10 cm wide, 9.375 cm tall. - Orthogonal top view: rectangle 10 cm by 7.5 cm. - Isometric drawing: 20 units length, 15 units width, 15 units height plus roof rise 3.75 units. - Perspective drawing: front face 7.5 cm by 9.375 cm with vanishing point. These measurements allow you to draw the required views accurately on the provided grids.