Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 59 · 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 an equilateral triangle is 5 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
4. 4.From a rectangle 17 cm long and 14 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 90 cm and its length is 23 cm. What is its width (in cm)?
7. 7.A square has a perimeter of 56 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
9. 9.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
10. 10.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
13. 13.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a square is 20 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 9 cm long and 6 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)?
17. 17.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 52 cm. What is its area (in square cm)?
19. 19.From a rectangle 10 cm long and 14 cm wide, a rectangle 4 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
22. 22.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
25. 25.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 72 cm. What is its area (in square cm)?
28. 28.A wall is 8 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 15 cm long and 5 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.From a rectangle 18 cm long and 8 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)?
33. 33.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 80 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
38. 38.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
39. 39.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?

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