Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 679 · 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 5 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
4. 4.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
9. 9.From a rectangle 9 cm long and 7 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 20 cm. What is its area (in square cm)?
11. 11.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
12. 12.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
14. 14.A square has a perimeter of 60 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
16. 16.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.From a rectangle 10 cm long and 6 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.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 ₹)?
20. 20.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
22. 22.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.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 ₹)?
24. 24.From a rectangle 17 cm long and 15 cm wide, a rectangle 13 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A square has a perimeter of 8 cm. What is its area (in square cm)?
26. 26.Each side of a square is 23 cm. What is its perimeter (in cm)?
27. 27.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A square has a perimeter of 76 cm. What is its area (in square cm)?
30. 30.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 14 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
33. 33.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 52 cm and its length is 23 cm. What is its width (in cm)?
35. 35.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
37. 37.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
38. 38.Each side of a square is 5 cm. What is its perimeter (in cm)?
39. 39.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 12 cm. What is its area (in square cm)?

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