Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 138 · 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 wall is 3 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
5. 5.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
7. 7.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
11. 11.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.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 ₹)?
13. 13.Each side of a square is 23 cm. What is its perimeter (in cm)?
14. 14.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
15. 15.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
19. 19.From a rectangle 9 cm long and 13 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 17 cm long and 11 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
23. 23.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
24. 24.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 48 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 74 cm and its length is 28 cm. What is its width (in cm)?
29. 29.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
30. 30.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
32. 32.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
33. 33.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 11 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 80 cm. What is its area (in square cm)?
38. 38.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 64 cm. What is its area (in square cm)?

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