Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 136 · 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 13 cm long and 5 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
4. 4.Each side of a square is 19 cm. What is its perimeter (in cm)?
5. 5.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
6. 6.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 7 cm long and 9 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)?
8. 8.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
9. 9.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 68 cm. What is its area (in square cm)?
11. 11.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 72 cm. What is its area (in square cm)?
13. 13.A square has a perimeter of 60 cm. What is its area (in square cm)?
14. 14.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
17. 17.Each side of a square is 5 cm. What is its perimeter (in cm)?
18. 18.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 44 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
22. 22.A wall is 7 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.A square has a perimeter of 76 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
26. 26.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
28. 28.A wall is 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.From a rectangle 10 cm long and 8 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
33. 33.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
35. 35.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
36. 36.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 64 cm and its length is 19 cm. What is its width (in cm)?
39. 39.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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