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Mathematics · Year 7
Perimeter is the distance all the way around a shape's edge — you add up every side. Area is the amount of flat space a shape covers, measured in square units. For a rectangle, area = length × width. For a triangle, area = (base × height) ÷ 2.
Example
A rectangular garden bed is 4m long and 3m wide. Its perimeter is 4 + 3 + 4 + 3 = 14m of edging needed. Its area is 4 × 3 = 12m² of soil to cover.
Key terms
Questions
1. Perimeter measures:
2. Area measures:
3. A square has sides of 5cm. What is its perimeter?
4. A rectangle is 4cm by 3cm. What is its area?
5. Area is measured in:
6. A rectangle is 6m by 2m. What is its perimeter?
7. Formula for the area of a rectangle is:
8. A garden bed is 4m long and 3m wide. What is its perimeter?
9. A garden bed is 4m long and 3m wide. What is its area?
10. A triangle has a base of 8cm and a height of 5cm. What is its area?
11. A rectangular room is 5m by 4m. How much carpet (area) is needed?
12. A square has an area of 25cm². What is the length of one side?
13. A rectangular fence is needed for a paddock 20m by 15m. How much fencing (perimeter) is needed?
14. A triangle has a base of 10cm and height of 6cm. What is its area?
15. A rectangular pool is 8m by 4m, surrounded by a 1m wide path. What is the total area including the path?
16. A room 6m by 5m needs new flooring at $25 per m². What is the total cost?
17. A triangular sail has an area of 12m² and a base of 4m. What is its height?
18. A rectangular block of land is 30m by 20m. A house covers 150m² of it. What area of land is left uncovered?
19. Fencing costs $12 per metre. How much does it cost to fence a rectangular yard 12m by 8m?
20. A rectangle's length is doubled and its width stays the same. What happens to its area?
21. A square garden has a perimeter of 32m. What is its area?
Answer key (parent copy)