Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 5 · 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 22 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 68 cm. What is its area (in square cm)?
3. 3.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
4. 4.A wall is 8 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 72 cm. What is its area (in square cm)?
7. 7.From a rectangle 7 cm long and 8 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)?
8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
9. 9.From a rectangle 9 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)?
10. 10.A square has a perimeter of 56 cm. What is its area (in square cm)?
11. 11.From a rectangle 8 cm long and 15 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.A square has a perimeter of 60 cm. What is its area (in square cm)?
13. 13.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.From a rectangle 18 cm long and 10 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
20. 20.From a rectangle 16 cm long and 8 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
22. 22.A wall is 3 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.A wall is 12 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
29. 29.From a rectangle 9 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.The perimeter of a rectangle is 38 cm and its length is 13 cm. What is its width (in cm)?
31. 31.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.The perimeter of a rectangle is 90 cm and its length is 25 cm. What is its width (in cm)?
33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
34. 34.From a rectangle 14 cm long and 8 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 12 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.Each side of a square is 17 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 80 cm and its length is 30 cm. What is its width (in cm)?
39. 39.From a rectangle 11 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?

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