Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 271 · 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 8 cm long and 8 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)?
2. 2.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 6 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.From a rectangle 8 cm long and 11 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)?
6. 6.A square has a perimeter of 36 cm. What is its area (in square cm)?
7. 7.From a rectangle 7 cm long and 11 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)?
8. 8.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 72 cm. What is its area (in square cm)?
10. 10.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A square has a perimeter of 52 cm. What is its area (in square cm)?
12. 12.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
13. 13.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
14. 14.From a rectangle 13 cm long and 11 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)?
15. 15.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
16. 16.Each side of a square is 7 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
21. 21.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A wall is 4 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 7 cm long and 5 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 70 cm and its length is 27 cm. What is its width (in cm)?
26. 26.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
29. 29.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 16 cm long and 14 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 14 cm long and 15 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A wall is 12 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a square is 14 cm. What is its perimeter (in cm)?
35. 35.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
37. 37.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
39. 39.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

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