Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 237 · 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 17 cm long and 9 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
3. 3.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 94 cm and its length is 27 cm. What is its width (in cm)?
5. 5.A square has a perimeter of 20 cm. What is its area (in square cm)?
6. 6.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
7. 7.Each side of a square is 15 cm. What is its perimeter (in cm)?
8. 8.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
11. 11.A wall is 3 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
13. 13.From a rectangle 14 cm long and 7 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)?
14. 14.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 40 cm. What is its area (in square cm)?
17. 17.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
18. 18.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 12 cm. What is its area (in square cm)?
22. 22.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
24. 24.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 12 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.From a rectangle 20 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 16 cm long and 15 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 square has a perimeter of 44 cm. What is its area (in square cm)?
30. 30.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 80 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A square has a perimeter of 68 cm. What is its area (in square cm)?
35. 35.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
38. 38.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
40. 40.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?

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