Area and Perimeter worksheet with six geometry problems for calculating area and perimeter of rectangles, triangles, and squares.

Let’s solve each problem step by step. We’ll calculate area and perimeter for each shape using the correct formulas.

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1. Rectangle: 10m long, 4m wide

- Area of rectangle = length × width
→ 10 × 4 = 40 m²

- Perimeter of rectangle = 2 × (length + width)
→ 2 × (10 + 4) = 2 × 14 = 28 m

✔ Area = 40 m², Perimeter = 28 m

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2. Triangle: base = 9m, height = 6m

- Area of triangle = (base × height) ÷ 2
→ (9 × 6) ÷ 2 = 54 ÷ 2 = 27 m²

*(Note: Perimeter is not asked here — only area is requested.)*

✔ Area = 27 m²

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3. Square: side = 7m

- Area of square = side × side
→ 7 × 7 = 49 m²

- Perimeter of square = 4 × side
→ 4 × 7 = 28 m

✔ Area = 49 m², Perimeter = 28 m

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4. Triangle: base = 8m, height = 12m

- Area of triangle = (base × height) 2
→ (8 × 12) ÷ 2 = 96 ÷ 2 = 48 m²

*(Again, only area is requested.)*

✔ Area = 48 m²

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5. Rectangle: 20m long, 7m wide

- Area = length × width
→ 20 × 7 = 140 m²

- Perimeter = 2 × (length + width)
→ 2 × (20 + 7) = 2 × 27 = 54 m

✔ Area = 140 m², Perimeter = 54 m

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6. Rectangle: 11m long, 8m wide

- Area = length × width
→ 11 × 8 = 88 m²

- Perimeter = 2 × (length + width)
→ 2 × (11 + 8) = 2 × 19 = 38 m

✔ Area = 88 m², Perimeter = 38 m

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Final Answer:

1. Area: 40 m², Perimeter: 28 m
2. Area: 27 m²
3. Area: 49 m², Perimeter: 28 m
4. Area: 48 m²
5. Area: 140 m², Perimeter: 54 m
6. Area: 88 m², Perimeter: 38 m