Scale drawing - Ratio and Proportion by URBrainy.com - Free Printable

You're absolutely right — this is not a problem to “solve” mathematically, but rather a practical drawing task.

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## ✔ What the Task Is Asking:
> *“Can you draw these shapes to scale with a ruler? Try to work very accurately.”*

This means:
👉 Use a ruler and pencil to redraw each of the 5 shapes on paper, making sure every line matches the given measurements exactly.

The note “These diagrams are not drawn to scale” means:
⚠️ The shapes you see in the worksheet are just sketches — their proportions may be off. You must ignore how they look and only follow the numbers.

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## 📏 How to Do It (Step-by-Step Instructions):

Tools Needed:

- Ruler (cm/mm)
- Pencil
- Eraser
- Plain or graph paper

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## 🔲 Shape 1: Simple Rectangle
- Width = 6 cm
- Height = 3 cm

✔ Steps:
1. Draw a horizontal line 6 cm long.
2. At each end, draw vertical lines 3 cm upward.
3. Connect the tops with another 6 cm horizontal line.
4. You now have a perfect 6 cm × 3 cm rectangle.

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## 🧩 Shape 2: L-shaped / Notch Shape
Dimensions:
- Total width = 5 cm
- Total height = 3 cm
- Left vertical section = 1 cm wide
- Middle notch = 2 cm deep, 2 cm wide
- Right vertical section = 2 cm wide

✔ Steps:
1. Start at bottom left. Draw a 5 cm horizontal base.
2. Go up 3 cm on the left side → mark point A.
3. From A, go right 1 cm → mark point B.
4. From B, go down 2 cm → mark point C.
5. From C, go right 2 cm → mark point D.
6. From D, go up 2 cm → mark point E.
7. From E, go right 2 cm → mark point F (top right corner).
8. From F, go down 3 cm to meet the base.
9. Connect all points carefully.

💡 Tip: Think of it as a 5 cm × 3 cm rectangle with a 2 cm × 2 cm square cut out from the top middle.

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## 🪜 Shape 3: Stair-step L-shape
Dimensions:
- Total width = 7 cm
- Total height = 7 cm
- Bottom part: 7 cm wide, 3 cm high
- Top-left part: 4 cm wide, 4 cm high (since 7 - 3 = 4)

✔ Steps:
1. Draw a 7 cm horizontal base.
2. Go up 3 cm on the right → mark point A.
3. From A, go left 3 cm → mark point B (because 7 - 4 = 3).
4. From B, go up 4 cm → mark point C.
5. From C, go left 4 cm → mark point D (top left corner).
6. From D, go down 7 cm to meet the base.
7. Connect all points.

💡 Think: It’s like a big 7×7 square with the bottom-right 3×4 rectangle missing.

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## ✚ Shape 4: Plus Sign (Cross)
Each arm is:
- 2 cm wide
- 2 cm long (from center to end)

✔ Steps:
1. Draw a central square 2 cm × 2 cm.
2. Extend each side outward by 2 cm:
- Up: draw 2 cm above the top edge
- Down: 2 cm below
- Left: 2 cm to the left
- Right: 2 cm to the right
3. Connect the ends to form a symmetrical cross.

💡 Total size: 6 cm tall and 6 cm wide (2 + 2 + 2).

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## 🌀 Shape 5: Zigzag / "E"-like shape
Total width = 6 cm
Total height = 1 + 1 + 1 + 1 + 3 = 7 cm
Each horizontal bar is 3 cm long, spaced 1 cm apart vertically.

✔ Steps:
1. Start at top left. Draw a 3 cm horizontal line → this is the top bar.
2. Drop down 1 cm → draw another 3 cm line directly below (same left alignment).
3. Drop down 1 cm → draw another 3 cm line.
4. Drop down 1 cm → draw another 3 cm line.
5. Drop down 3 cm → draw the final 3 cm line (bottom bar).
6. Now connect the right ends of all bars with vertical lines.
7. Connect the left ends with vertical lines (but leave the gaps between bars open).

💡 This looks like a capital “E” turned sideways, with 5 horizontal bars and vertical sides.

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## ✍️ Final Tips for Accuracy:

- Always start from one corner (e.g., bottom left) and build outward.
- Use light pencil lines first — you can darken them later.
- Double-check each measurement before drawing the next line.
- Label your measurements lightly as you go to avoid mistakes.
- If you make a mistake, erase gently and redo — accuracy matters!

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## 🎯 Goal:
By completing this, you’ll practice:
✔️ Reading dimensions correctly
✔️ Using a ruler precisely
✔️ Understanding scale drawings
✔️ Spatial reasoning and geometry

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## 🖼️ Since I can’t draw on paper for you...

You’ll need to do this yourself — but now you know exactly how to draw each shape accurately using the measurements provided.

If you want, after you draw them, you can scan or take a photo and upload it here — I’d be happy to check your work! 😊

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✔ Summary: This is a hands-on drawing exercise — no math calculation needed, just careful measuring and drawing using the given dimensions. Follow the steps above, and you’ll succeed!

Good luck — and remember: measure twice, draw once! 📐✏️