Area and Perimeter of Rectangle - Free Printable

Let's solve each rectangle problem step by step using the formulas:

- Area of a rectangle = length × width
- Perimeter of a rectangle = 2 × (length + width)

We’ll go through each one carefully, converting mixed numbers where necessary.

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1) Rectangle: 6 cm × 1½ cm

Convert 1½ to improper fraction:
1½ = 3/2 = 1.5 cm

Area = 6 × 1.5 = 9 cm²

Perimeter = 2 × (6 + 1.5) = 2 × 7.5 = 15 cm

✔ Answer:
Area = 9 cm², Perimeter = 15 cm

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2) Rectangle: 5½ m × 3 m

Convert 5½ to decimal:
5½ = 5.5 m

Area = 5.5 × 3 = 16.5 m²

Perimeter = 2 × (5.5 + 3) = 2 × 8.5 = 17 m

✔ Answer:
Area = 16.5 m², Perimeter = 17 m

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3) Rectangle: 2½ ft × 5 ft

Convert 2½ to decimal:
2½ = 2.5 ft

Area = 2.5 × 5 = 12.5 ft²

But the question asks for area in m²? Wait — this is a problem.

Wait! The unit given is feet, but it says "Area = _______ m²". That’s inconsistent.

Unless it's a typo, we must assume they want the answer in square feet, not square meters.

But since it says m², and no conversion factor is provided, likely it's a mistake. But let's check: Is there a unit mismatch?

Yes — the dimensions are in feet, so area should be in ft², not m².

However, since the worksheet says "m²", maybe it's an error. But unless told otherwise, we'll compute in correct units.

So:
- Area = 2.5 × 5 = 12.5 ft²
- But blank says "m²" → possibly a typo

Similarly, perimeter should be in ft, not m.

Assuming it's a typo and they meant ft² and ft, we proceed.

✔ Answer (assuming typo):
Area = 12.5 ft², Perimeter = 2 × (2.5 + 5) = 2 × 7.5 = 15 ft

But if they *really* want m², then we need to convert feet to meters.

1 foot ≈ 0.3048 meters

So:
- 2.5 ft = 2.5 × 0.3048 = 0.762 m
- 5 ft = 5 × 0.3048 = 1.524 m

Then:
- Area = 0.762 × 1.524 ≈ 1.16 m² (approx)
- Perimeter = 2 × (0.762 + 1.524) = 2 × 2.286 = 4.572 m

But that seems unlikely for a basic worksheet.

👉 Given the context, likely a typo, and they meant ft² and ft.

✔ So we’ll go with:
Area = 12.5 ft², Perimeter = 15 ft

But since the blank says "m²", and others are consistent, perhaps the student should write 12.5 ft² or just follow instructions.

But since the worksheet says "m²", and others don't have such mismatches, probably a typo.

We’ll assume they want answers in the correct units based on input.

So for #3:
- Area = 12.5 ft²
- Perimeter = 15 ft

But the blank says "m²" — so this is likely a typo.

We will proceed assuming it's a typo and write the correct unit.

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4) Rectangle: 7 cm × 20 cm

Area = 7 × 20 = 140 cm²

Perimeter = 2 × (7 + 20) = 2 × 27 = 54 cm

✔ Answer:
Area = 140 cm², Perimeter = 54 cm

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5) Rectangle: 8 cm × 3½ cm

Convert 3½ to decimal:
3½ = 3.5 cm

Area = 8 × 3.5 = 28 cm²

Perimeter = 2 × (8 + 3.5) = 2 × 11.5 = 23 cm

✔ Answer:
Area = 28 cm², Perimeter = 23 cm

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6) Rectangle: 30 m × 20 m

Area = 30 × 20 = 600 m²

Perimeter = 2 × (30 + 20) = 2 × 50 = 100 m

✔ Answer:
Area = 600 m², Perimeter = 100 m

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✔ Final Answers:

| Problem | Area | Perimeter |
|--------|------------------|-------------------|
| 1) | 9 cm² | 15 cm |
| 2) | 16.5 m² | 17 m |
| 3) | 12.5 ft² | 15 ft |
| 4) | 140 cm² | 54 cm |
| 5) | 28 cm² | 23 cm |
| 6) | 600 m² | 100 m |

> ⚠️ Note: For problem #3, the area and perimeter units in the worksheet say m² and m, but the dimensions are in feet. This appears to be a typo. The correct units should be ft² and ft.

If you're required to use metric units, then convert feet to meters first (1 ft ≈ 0.3048 m), but that would make it more complex and likely beyond the scope.

Given the context of the worksheet, we assume it's a typo, and you should fill in the answers in ft² and ft.

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📝 Summary:

1) Area = 9 cm², Perimeter = 15 cm
2) Area = 16.5 m², Perimeter = 17 m
3) Area = 12.5 ft², Perimeter = 15 ft *(unit mismatch likely typo)*
4) Area = 140 cm², Perimeter = 54 cm
5) Area = 28 cm², Perimeter = 23 cm
6) Area = 600 m², Perimeter = 100 m

Let me know if you'd like the answers formatted for filling in the blanks directly!