Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 430 · 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 17 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 68 cm and its length is 29 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
4. 4.Each side of a square is 23 cm. What is its perimeter (in cm)?
5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
6. 6.Each side of a square is 9 cm. What is its perimeter (in cm)?
7. 7.Each side of a square is 11 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 11 cm long and 12 cm wide, a rectangle 3 cm by 9 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 36 cm. What is its area (in square cm)?
11. 11.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
14. 14.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 40 cm. What is its area (in square cm)?
16. 16.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
17. 17.From a rectangle 14 cm long and 12 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.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 ₹)?
20. 20.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 6 cm long and 8 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)?
24. 24.From a rectangle 12 cm long and 9 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 18 cm long and 9 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 10 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
29. 29.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
30. 30.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
31. 31.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 24 cm. What is its area (in square cm)?
33. 33.Each side of a square is 6 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 13 cm long and 6 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)?
35. 35.From a rectangle 6 cm long and 13 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)?
36. 36.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
38. 38.A square has a perimeter of 32 cm. What is its area (in square cm)?
39. 39.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
40. 40.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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