Estimating Area Worksheet | PDF printable Measurement Worksheets - Free Printable

To solve this problem, we need to estimate the area of each shape (A through F) using the 1 cm square grid. Each full square represents 1 cm², and partial squares can be estimated by combining them (e.g., two half-squares make one full square).

We’ll go step-by-step for each shape:

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🔹 Shape A (Yellow)

- This is a curved shape resembling a sector with a bite taken out.
- Count full squares: ~20
- Estimate partial squares: ~6–7 (mostly half-squares)
- Total ≈ 25–26 cm²

> ✔ Estimated Area: ~25 cm²

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🔹 Shape B (Blue Circle)

- It’s a circle that fits in a 6×6 square (diameter = 6 cm).
- Area of a circle = πr² = π × 3² ≈ 28.27 cm²
- But we’re estimating from grid:
- Full squares inside: ~24–25
- Partial squares around edge: ~4–5 (half or more)
- Total ≈ 28–29 cm²

> ✔ Estimated Area: ~28 cm²

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🔹 Shape C (Green Banner)

- Rectangular center with curved ends.
- Main rectangle: 6 cm wide × 3 cm tall → 18 cm²
- Two curved ends: each looks like half a circle of radius 1.5 cm → total area ≈ 2 × (½ × π × 1.5²) ≈ 7.07 cm²
- But visually, the curves are shallow; better to count:
- Full squares: ~16
- Half squares: ~6
- Total ≈ 20 cm²

> ✔ Estimated Area: ~20 cm²

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🔹 Shape D (Turquoise Arrow-like)

- Irregular polygon with a curve at the end.
- Count:
- Full squares: ~24
- Half squares: ~6
- Total ≈ 27–28 cm²

> ✔ Estimated Area: ~27 cm²

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🔹 Shape E (Purple U-shape with hole)

- Outer shape: rectangle with rounded top/bottom
- Width: 5 cm, height: 6 cm → 30 cm² if solid
- But it has a hole (white oval)
- Hole (oval): ~2 cm wide, 1 cm high → area ≈ π × 1 × 0.5 ≈ 1.57 cm²
- So subtract hole: ~30 – 1.5 = 28.5
- But let's count:
- Full squares: ~25
- Partial: ~5
- Total ≈ 28–29 cm²

> ✔ Estimated Area: ~28 cm²

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🔹 Shape F (Orange Four-leaf clover)

- Symmetrical, four rounded lobes.
- Each lobe is roughly a semicircle with radius 1.5 cm → area of one = ½ × π × 1.5² ≈ 3.53
- Four lobes: 4 × 3.53 ≈ 14.1 cm²
- But they overlap slightly at center.
- Counting on grid:
- Full squares: ~12
- Half squares: ~4
- Total ≈ 14 cm²

> ✔ Estimated Area: ~14 cm²

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📊 Summary of Estimated Areas:

| Shape | Estimated Area (cm²) |
|-------|------------------------|
| A | ~25 |
| B | ~28 |
| C | ~20 |
| D | ~27 |
| E | ~28 |
| F | ~14 |

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🔁 Order from Smallest to Largest Area:

Start with smallest:
F (14) → C (20) → A (25) → D (27) → B (28) → E (28)

Note: B and E both ~28 cm² — so they are equal.

But since the question asks to list them in order, and there's no tie-breaking rule, we can assume B and E are equal, but we must place them adjacent.

So final order:

> F, C, A, D, B, E
> OR
> F, C, A, D, E, B — either is acceptable if B and E are tied.

But typically, we list alphabetically when areas are equal.

So best answer:
F, C, A, D, B, E

Wait — check again:

- F: 14
- C: 20
- A: 25
- D: 27
- B: 28
- E: 28

So B and E are equal. But E comes after B alphabetically? No — B before E.

So B then E if we go alphabetical.

But since both have same area, order between B and E doesn't matter.

However, D is 27, B and E are 28, so D < B/E

Thus:

✔ Final order: F, C, A, D, B, E

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✔ Answer:

F, C, A, D, B, E

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📝 Final Boxed Answer:

```
F, C, A, D, B, E
```