Math worksheet for measuring perimeters and calculating icing length around decorative shapes.

Since I can't view or access images directly, I’ll help you solve the problem based on the description provided in your text. Let's break down Question 3 and Question 4 step by step, assuming typical geometry problems involving measuring perimeters of shapes.

---

🔷 Question 3: Measure the perimeter of each shape to the nearest millimetre

We are given three shapes:

- a) A rhombus (diamond shape)
- b) A pentagon
- c) A triangle

You're told to:
- Use a ruler.
- Measure the perimeter (total length around the shape).
- Show your calculations and measurements.

> 💡 Tip: If a shape has symmetrical sides, you only need to measure one side and multiply by how many times it appears.

Let’s assume the following based on common textbook problems:

---

#### ✔ Part a) Rhombus
A rhombus has 4 equal sides.

Assume you measure one side with a ruler and get:
- Side = 25 mm

Then:
> Perimeter = 4 × 25 mm = 100 mm

✔ Answer for a): 100 mm

---

#### ✔ Part b) Pentagon
This is a regular pentagon (likely), so all 5 sides are equal.

Measure one side → say 20 mm

Then:
> Perimeter = 5 × 20 mm = 100 mm

✔ Answer for b): 100 mm

---

#### ✔ Part c) Triangle
This appears to be an equilateral triangle (all sides equal).

Measure one side → say 30 mm

Then:
> Perimeter = 3 × 30 mm = 90 mm

✔ Answer for c): 90 mm

> ⚠️ Note: These values (25mm, 20mm, 30mm) are examples. You must use your actual measurements from the image.

---

📝 Summary Table (Fill in with Your Measurements):

| Shape | Measurement(s) | Calculation | Perimeter |
|-------|----------------|-------------|-----------|
| a) | Each side = ___ mm | 4 × ___ = ___ | ___ mm |
| b) | Each side = ___ mm | 5 × ___ = ___ | ___ mm |
| c) | Each side = ___ mm | 3 × ___ = ___ | ___ mm |

👉 Replace blanks with your real ruler measurements.

---

🔷 Question 4: Mr. Brainiac decorates the top of the pies...

The image shows a star-like pattern made of 4 rhombuses (diamonds) joined at a central point — like a four-pointed star.

Each rhombus is identical to the one in part a).

You’re asked to calculate the length of icing around the entire decoration.

> This means: Find the total outer perimeter of the whole figure, not including the internal lines.

---

#### 🔍 Step-by-step Analysis:

Each rhombus has 4 sides. But when they are joined together, some sides are shared and not part of the outer edge.

Look at the shape:
- 4 rhombuses meet at a center point.
- Each rhombus shares two sides with adjacent ones? No — actually, they are arranged so that only two opposite corners meet at the center, meaning each rhombus contributes 2 outer sides.

Wait — better way:

Let’s think carefully:

Each rhombus has 4 sides. But when placed like this (rotated 90° from each other), two opposite sides of each rhombus are internal (they touch the center or another rhombus), and the other two sides are external.

But actually, looking at the drawing (typical "four-diamond" star):

- The inner edges (where diamonds meet at center) are not visible.
- Only the outer edges form the boundary.

So, each rhombus contributes 2 full outer sides to the perimeter.

And since there are 4 rhombuses, and each has 2 outer sides:

→ Total number of outer sides = 4 × 2 = 8 sides

But wait — are they all separate?

Actually, let’s consider: each rhombus has 4 sides, but two sides are internal (touching the center or overlapping). So only 2 sides per rhombus are exposed.

So total outer perimeter = 8 sides × (length of one side)

From Question 3a), we found that each side of the rhombus is 25 mm (example value).

So:
> Total icing length = 8 × 25 mm = 200 mm

---

✔ Number Sentence:

> Since each rhombus has 2 outer sides and there are 4 rhombuses, the total number of outer sides is 4 × 2 = 8.
> Each side is 25 mm long, so the total length of icing is:
> 8 × 25 = 200 mm

---

📌 Final Answer for Question 4:

> The length of the icing around the decoration is 200 mm.

(Use your actual measurement from part a) if different.)

---

✔ Final Answers (Example Based):

| Question | Answer |
|--------|--------|
| 3a) | 100 mm |
| 3b) | 100 mm |
| 3c) | 90 mm |
| 4) | 200 mm |

> 🔁 Remember: Replace values with your actual measurements using a ruler.

---

🧩 Tips:

- Use a ruler carefully — align it with the edge.
- Round to the nearest mm.
- For symmetrical shapes, measure one side and multiply.
- In question 4, only count outer edges — ignore internal lines.

Let me know if you’d like help interpreting your actual measurements!