Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 292 · 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 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
4. 4.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
5. 5.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 108 cm and its length is 30 cm. What is its width (in cm)?
8. 8.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
11. 11.From a rectangle 17 cm long and 6 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)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
14. 14.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 14 cm long and 11 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
18. 18.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 16 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 52 cm. What is its area (in square cm)?
21. 21.From a rectangle 13 cm long and 6 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
23. 23.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
24. 24.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.A square has a perimeter of 44 cm. What is its area (in square cm)?
27. 27.From a rectangle 14 cm long and 14 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)?
28. 28.From a rectangle 11 cm long and 10 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)?
29. 29.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A square has a perimeter of 64 cm. What is its area (in square cm)?
31. 31.From a rectangle 12 cm long and 10 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 15 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 32 cm. What is its area (in square cm)?
35. 35.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
37. 37.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
38. 38.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
39. 39.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 60 cm. What is its area (in square cm)?

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