Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 20 · 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.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
5. 5.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 110 cm and its length is 30 cm. What is its width (in cm)?
7. 7.From a rectangle 19 cm long and 13 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
9. 9.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 24 cm. What is its area (in square cm)?
12. 12.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
13. 13.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.From a rectangle 8 cm long and 11 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
16. 16.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 5 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 17 cm long and 5 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
20. 20.A wall is 3 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
22. 22.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
23. 23.Each side of a square is 16 cm. What is its perimeter (in cm)?
24. 24.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
25. 25.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of a square is 24 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
29. 29.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 14 cm long and 5 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)?
31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
32. 32.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A square has a perimeter of 48 cm. What is its area (in square cm)?
34. 34.From a rectangle 12 cm long and 5 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)?
35. 35.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
38. 38.From a rectangle 7 cm long and 6 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
40. 40.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

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