Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 530 · 40 sums

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

1. 1.Each side of a square is 3 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 8 cm. What is its area (in square cm)?
3. 3.From a rectangle 11 cm long and 5 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 15 cm long and 13 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A square has a perimeter of 72 cm. What is its area (in square cm)?
6. 6.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
7. 7.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 7 cm long and 7 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
14. 14.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 10 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 10 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 36 cm. What is its area (in square cm)?
18. 18.From a rectangle 17 cm long and 12 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 17 cm long and 8 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A square has a perimeter of 56 cm. What is its area (in square cm)?
24. 24.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
27. 27.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
29. 29.A square has a perimeter of 28 cm. What is its area (in square cm)?
30. 30.From a rectangle 9 cm long and 14 cm wide, a rectangle 6 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 20 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
38. 38.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
40. 40.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?

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