Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 416 · 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 8 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 8 cm long and 6 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
5. 5.Each side of a square is 6 cm. What is its perimeter (in cm)?
6. 6.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 ₹)?
7. 7.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A wall is 3 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A wall is 4 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 16 cm long and 10 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 64 cm. What is its area (in square cm)?
15. 15.The perimeter of a rectangle is 90 cm and its length is 28 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 52 cm. What is its area (in square cm)?
17. 17.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 14 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)?
19. 19.The perimeter of a rectangle is 62 cm and its length is 26 cm. What is its width (in cm)?
20. 20.From a rectangle 8 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a square is 19 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
25. 25.The perimeter of a rectangle is 70 cm and its length is 25 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 60 cm and its length is 16 cm. What is its width (in cm)?
27. 27.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
29. 29.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 11 cm long and 8 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)?
31. 31.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
32. 32.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 58 cm and its length is 24 cm. What is its width (in cm)?
36. 36.A square has a perimeter of 60 cm. What is its area (in square cm)?
37. 37.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
39. 39.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?

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