Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 97 · 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 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
4. 4.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 20 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
9. 9.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
10. 10.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 20 cm long and 5 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
15. 15.From a rectangle 17 cm long and 7 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
18. 18.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
19. 19.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
21. 21.A square has a perimeter of 24 cm. What is its area (in square cm)?
22. 22.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
25. 25.Each side of a square is 15 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 56 cm. What is its area (in square cm)?
28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
29. 29.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A wall is 10 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
33. 33.A square has a perimeter of 44 cm. What is its area (in square cm)?
34. 34.From a rectangle 14 cm long and 15 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 64 cm. What is its area (in square cm)?
36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
38. 38.The perimeter of a rectangle is 70 cm and its length is 25 cm. What is its width (in cm)?
39. 39.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 ₹)?
40. 40.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?

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