Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 487 · 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.From a rectangle 15 cm long and 12 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 13 cm long and 15 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of a square is 8 cm. What is its perimeter (in cm)?
10. 10.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
12. 12.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a square is 12 cm. What is its perimeter (in cm)?
14. 14.A square has a perimeter of 76 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 44 cm. What is its area (in square cm)?
17. 17.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
18. 18.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.The perimeter of a rectangle is 98 cm and its length is 25 cm. What is its width (in cm)?
20. 20.A square has a perimeter of 72 cm. What is its area (in square cm)?
21. 21.A wall is 4 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
23. 23.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
26. 26.From a rectangle 9 cm long and 13 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
28. 28.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A square has a perimeter of 80 cm. What is its area (in square cm)?
31. 31.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A square has a perimeter of 68 cm. What is its area (in square cm)?
34. 34.From a rectangle 13 cm long and 11 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
36. 36.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 11 cm long and 9 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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