Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 422 · 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.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A wall is 10 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
4. 4.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.The perimeter of a rectangle is 60 cm and its length is 20 cm. What is its width (in cm)?
6. 6.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
9. 9.A wall is 4 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
12. 12.From a rectangle 15 cm long and 5 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
15. 15.From a rectangle 17 cm long and 9 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.From a rectangle 7 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A square has a perimeter of 56 cm. What is its area (in square cm)?
18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
19. 19.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
20. 20.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
21. 21.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 86 cm and its length is 26 cm. What is its width (in cm)?
24. 24.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
25. 25.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 32 cm. What is its area (in square cm)?
27. 27.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 104 cm and its length is 30 cm. What is its width (in cm)?
29. 29.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 17 cm long and 13 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 64 cm. What is its area (in square cm)?
34. 34.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
36. 36.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
37. 37.A wall is 7 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 12 cm long and 6 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?

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