Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 68 · 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 pentagon is 2 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 17 cm long and 13 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
4. 4.From a rectangle 11 cm long and 13 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)?
5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 20 cm long and 6 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 9 cm long and 15 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.From a rectangle 7 cm long and 14 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
16. 16.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
17. 17.From a rectangle 15 cm long and 14 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)?
18. 18.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
19. 19.The perimeter of a rectangle is 90 cm and its length is 26 cm. What is its width (in cm)?
20. 20.A wall is 6 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 6 cm long and 5 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)?
22. 22.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
24. 24.From a rectangle 20 cm long and 10 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A square has a perimeter of 72 cm. What is its area (in square cm)?
26. 26.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 62 cm and its length is 20 cm. What is its width (in cm)?
30. 30.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 19 cm long and 5 cm wide, a rectangle 17 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.A square has a perimeter of 12 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 44 cm and its length is 18 cm. What is its width (in cm)?
34. 34.A square has a perimeter of 16 cm. What is its area (in square cm)?
35. 35.A wall is 7 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 11 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

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