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

Of course! Let's solve the "City Park Playground Map" problem step by step.

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🎯 Goal:

1. Calculate the perimeter of each colored rectangle.
2. Order them 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: Understand Perimeter

The perimeter of a rectangle is calculated as:

> Perimeter = 2 × (Length + Width)

Since all shapes are on a grid, we can count the number of unit squares along each side.

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## 🧮 Step 2: Calculate Perimeter for Each Shape

Let’s go one by one.

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🟣 Purple Rectangle (top middle)

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

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🟤 Orange Rectangle (left side)

- Width: 2 units
- Height: 7 units
- Perimeter = 2 × (2 + 7) = 18

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🟣 Dark Purple Rectangle (middle left)

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

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🔴 Red Square (small, center bottom)

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

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🟦 Blue Square (middle top right)

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

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🟨 Yellow Rectangle (bottom left)

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

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🟦 Light Blue Rectangle (center)

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

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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 center)

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

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🟨 Large Yellow Rectangle (top right)

- Width: 8 units
- Height: 5 units
- Perimeter = 2 × (8 + 5) = 26

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## 📊 Step 3: List All Perimeters

| Shape | Perimeter |
|------------------------|---------|
| Red Square | 4 |
| Pink Square | 8 |
| Purple Rectangle | 10 |
| Dark Purple Square | 16 |
| Blue Square | 16 |
| Orange Rectangle | 18 |
| Yellow Rectangle | 20 |
| Green Square | 20 |
| Light Blue Rectangle | 22 |
| Large Yellow Rectangle | 26 |

> ✔ Note: Two shapes have perimeter 16, and two have 20 — that’s okay! We’ll just connect them in any order when they’re tied.

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## 🔄 Step 4: Order Shapes from Smallest to Largest Perimeter

We start with the smallest and move up.

1. Red Square (Perimeter = 4) — smallest
2. Pink Square (8)
3. Purple Rectangle (10)
4. Dark Purple Square (16)
5. Blue Square (16) — tie, so next after dark purple
6. Orange Rectangle (18)
7. Yellow Rectangle (20)
8. Green Square (20) — tie, next after yellow rectangle
9. Light Blue Rectangle (22)
10. Large Yellow Rectangle (26) — largest

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## 🗺️ Step 5: Describe the Path (from smallest to largest)

You can imagine drawing a line or arrow from one shape to the next in this order:

> Start at Red Square → Pink Square → Purple Rectangle → Dark Purple Square → Blue Square → Orange Rectangle → Yellow Rectangle → Green Square → Light Blue Rectangle → Large Yellow Rectangle

You can trace this path visually on the map — it will zigzag across the playground!

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## ✔ Final Answer Summary

Perimeters:

- Red: 4
- Pink: 8
- Purple (top): 10
- Dark Purple: 16
- Blue: 16
- Orange: 18
- Yellow (bottom): 20
- Green: 20
- Light Blue: 22
- Large Yellow: 26

Path Order (Smallest to Largest Perimeter):

Red → Pink → Purple → Dark Purple → Blue → Orange → Yellow → Green → Light Blue → Large Yellow

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🎉 You’ve successfully mapped the playground by perimeter! This helps kids learn geometry while having fun navigating the park!