Perimeter Worksheet 1 - Mr. R.s World of Math - Free Printable

Absolutely! Let’s solve this step by step.

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🎯 Goal:

1. Calculate the perimeter of each colored rectangle (assuming each grid square is 1 unit by 1 unit).
2. Order the rectangles from smallest to largest perimeter.
3. Draw a path connecting them in that order (we’ll describe the path since we can’t draw here).

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## 🔢 Step 1: Find Perimeter of Each Shape

The formula for the perimeter of a rectangle is:
> Perimeter = 2 × (length + width)

We’ll count the number of grid units for length and width of each shape.

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🟣 Purple Rectangle (top left, small horizontal one)

- Width: 4 units
- Height: 1 unit
- Perimeter = 2 × (4 + 1) = 10

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🟠 Orange Rectangle (left side, tall vertical)

- Width: 2 units
- Height: 8 units
- Perimeter = 2 × (2 + 8) = 20

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🟣 Dark Purple Rectangle (middle left)

- Width: 4 units
- Height: 5 units
- Perimeter = 2 × (4 + 5) = 18

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🔴 Red Square (small one near center)

- Width: 2 units
- Height: 2 units
- Perimeter = 2 × (2 + 2) = 8

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🔵 Blue Square (upper middle)

- Width: 4 units
- Height: 4 units
- Perimeter = 2 × (4 + 4) = 16

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💙 Light Blue Rectangle (middle right, wide)

- Width: 8 units
- Height: 3 units
- Perimeter = 2 × (8 + 3) = 22

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🟡 Yellow Rectangle (bottom left, long horizontal)

- Width: 8 units
- Height: 2 units
- Perimeter = 2 × (8 + 2) = 20

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🟢 Green Rectangle (bottom right)

- Width: 5 units
- Height: 5 units
- Perimeter = 2 × (5 + 5) = 20

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🟣 Pink Square (bottom middle)

- Width: 3 units
- Height: 3 units
- Perimeter = 2 × (3 + 3) = 12

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🟨 Yellow Large Rectangle (top right)

- Width: 8 units
- Height: 6 units
- Perimeter = 2 × (8 + 6) = 28

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## ✔ Step 2: List All Perimeters

| Shape Color | Dimensions | Perimeter |
|-------------------|----------|---------|
| Red | 2x2 | 8 |
| Purple (small horiz)| 4x1 | 10 |
| Pink | 3x3 | 12 |
| Blue (square) | 4x4 | 16 |
| Dark Purple | 4x5 | 18 |
| Orange | 2x8 | 20 |
| Yellow (long horiz)| 8x2 | 20 |
| Green | 5x5 | 20 |
| Light Blue | 8x3 | 22 |
| Yellow (large) | 8x6 | 28 |

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## 📈 Step 3: Order from Smallest to Largest Perimeter

Here’s the correct order:

1. Red (8) — smallest
2. Purple (horizontal, 10)
3. Pink (12)
4. Blue Square (16)
5. Dark Purple (18)
6. Orange (20)
7. Yellow (long horizontal, 20)
8. Green (20)
9. Light Blue (22)
10. Yellow (large, 28) — largest

> ⚠️ Note: Three shapes have perimeter 20. Since the problem says “in order,” and doesn’t specify tie-breakers, we can choose any logical order among them — perhaps by position (left to right, top to bottom). We’ll go:
> - Orange (left side)
> - Yellow (bottom left)
> - Green (bottom right)

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## 🗺️ Step 4: Describe the Path (from smallest to largest)

You’d draw a line or path connecting the centers (or corners) of these shapes in this order:

1. Start at Red Square (centered around row 6–7, col 4–5)
2. → Move to Purple Horizontal Rectangle (row 2, col 3–6)
3. → Move to Pink Square (row 8–9, col 6–8)
4. → Move to Blue Square (row 3–6, col 7–10)
5. → Move to Dark Purple Rectangle (row 3–7, col 3–6)
6. → Move to Orange Tall Rectangle (row 2–9, col 1–2)
7. → Move to Yellow Long Rectangle (row 9–10, col 1–8)
8. → Move to Green Square (row 7–11, col 10–14)
9. → Move to Light Blue Rectangle (row 5–7, col 7–14)
10. → End at Large Yellow Rectangle (row 2–7, col 11–18)

> 🖍️ In practice, you’d draw a continuous line (like a maze path) connecting these shapes on the grid, starting with red and ending with the large yellow rectangle.

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## 🧾 Final Answer Summary:

✔ Ordered by perimeter (smallest to largest):

1. Red – 8
2. Purple (small horizontal) – 10
3. Pink – 12
4. Blue Square – 16
5. Dark Purple – 18
6. Orange – 20
7. Yellow (long horizontal) – 20
8. Green – 20
9. Light Blue – 22
10. Yellow (large) – 28

🟢 Path: Connect the shapes in the above order visually on the map.

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Let me know if you want a printable version or a visual sketch description! 😊