Area and perimeter worksheet featuring six grid-based problems for calculating area and perimeter of rectangles and squares.

Let’s solve each problem one by one. We’ll count the squares to find length and width, then use:

- Area = length × width
- Perimeter = 2 × (length + width)

We assume each small square is 1 unit by 1 unit.

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Problem 1a: Rectangle with grid

Count the squares:
- Width (across) = 9 units
- Height (down) = 4 units

Area = 9 × 4 = 36 square units

Perimeter = 2 × (9 + 4) = 2 × 13 = 26 units

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Problem 1b: Tall rectangle

Count the squares:
- Width = 4 units
- Height = 8 units

Area = 4 × 8 = 32 square units

Perimeter = 2 × (4 + 8) = 2 × 12 = 24 units

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Problem 2a: Square

It’s a 2x2 square.

Area = 2 × 2 = 4 square units

Perimeter = 2 × (2 + 2) = 2 × 4 = 8 units

*(Note: For a square, you can also do Perimeter = 4 × side → 4 × 2 = 8)*

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Problem 2b: Large rectangle

Count the squares:
- Width = 8 units
- Height = 9 units

Area = 8 × 9 = 72 square units

Perimeter = 2 × (8 + 9) = 2 × 17 = 34 units

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Problem 3a: Rectangle

Count the squares:
- Width = 5 units
- Height = 6 units

Area = 5 × 6 = 30 square units

Perimeter = 2 × (5 + 6) = 2 × 11 = 22 units

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Problem 3b: Small tall rectangle

Count the squares:
- Width = 3 units
- Height = 6 units

Area = 3 × 6 = 18 square units

Perimeter = 2 × (3 + 6) = 2 × 9 = 18 units

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Final Answer:

1a. Area = 36, Perimeter = 26
1b. Area = 32, Perimeter = 24
2a. Area = 4, Perimeter = 8
2b. Area = 72, Perimeter = 34
3a. Area = 30, Perimeter = 22
3b. Area = 18, Perimeter = 18