Design a House -- Area, Perimeter & Scale Project | NextLesson - Free Printable

It looks like you've uploaded an image for a STEM project titled *"Design a House: Integrated Area, Perimeter & Scale STEM Project"*. However, the image itself is a title card or cover page for the project and does not contain the actual task or problem to solve.

The image shows:

- A floor plan of a first-floor house layout, including:
- Living room
- Kitchen
- Dining room
- Bedroom
- Study
- Bathroom (with sink, toilet, and shower)
- Stairs leading up/down

- The project focuses on integrating area, perimeter, and scale concepts in a real-world design context.

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🔍 What Is the Task?

Since this is a project-based learning activity, the goal is likely for students to:

1. Design their own house using the principles of geometry.
2. Use scale drawings (e.g., 1 inch = 1 foot).
3. Calculate the area and perimeter of each room and the entire house.
4. Apply real-world constraints (e.g., minimum room sizes, functional layouts).

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✔ How to Solve This Project (Step-by-Step Guide)

Even though the image doesn't show specific questions, here’s how you’d typically approach this kind of STEM project:

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#### 🧩 Step 1: Understand the Problem
You are designing a house that must:
- Include required rooms (bedroom, kitchen, living room, etc.)
- Be drawn to scale
- Have labeled dimensions
- Include calculations for area and perimeter

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#### 📏 Step 2: Choose a Scale
Example:
Let’s say 1 cm on paper = 1 meter in real life
(Or 1 inch = 1 foot if using imperial units)

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#### 🖋️ Step 3: Design Your Floor Plan
Draw your house layout with:
- Rooms clearly labeled
- Dimensions marked (length and width)
- Doors and windows indicated

> Example:
> - Living Room: 5m × 4m
> - Kitchen: 3m × 3m
> - Bedroom: 4m × 3.5m

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#### 🧮 Step 4: Calculate Area & Perimeter

Use formulas:
- Area = length × width (for rectangles)
- Perimeter = 2 × (length + width)

##### Example Calculations:
| Room | Length | Width | Area (m²) | Perimeter (m) |
|-------------|--------|-------|-----------|---------------|
| Living | 5 | 4 | 20 | 18 |
| Kitchen | 3 | 3 | 9 | 12 |
| Bedroom | 4 | 3.5 | 14 | 15 |

Total Area = 20 + 9 + 14 + ... = ?
Total Perimeter of whole house? (add outer edges only)

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#### 📐 Step 5: Draw to Scale
Using graph paper or a drawing tool:
- Each square = 1 meter
- Sketch rooms according to your design
- Label all measurements

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#### 🧠 Step 6: Present Your Work
Include:
- Final floor plan (scaled)
- Table of areas and perimeters
- Explanation of design choices
- How scale was used

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💡 Tips for Success

- Make sure rooms are functionally sized (e.g., bedroom ≥ 10 m²)
- Avoid overlapping walls
- Use consistent scale throughout
- Show your math clearly

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❓What If There’s a Specific Problem?

If you have a specific question related to this project — such as:
- “Calculate the total area of the house in the image”
- “Redesign the house to fit within 100 m²”
- “What is the perimeter of the kitchen?”

👉 Please provide that specific problem, and I’ll help you solve it step by step.

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Would you like me to:
- Help calculate the area and perimeter of the house shown?
- Create a sample student solution?
- Generate a worksheet based on this project?

Let me know what you'd like to do next!