Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 244 · 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 5 cm. What is its perimeter (in cm)?
2. 2.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
4. 4.From a rectangle 18 cm long and 11 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)?
5. 5.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
7. 7.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 7 cm long and 9 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A square has a perimeter of 48 cm. What is its area (in square cm)?
11. 11.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 ₹)?
12. 12.From a rectangle 16 cm long and 13 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.From a rectangle 16 cm long and 12 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)?
14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
15. 15.Each side of a square is 4 cm. What is its perimeter (in cm)?
16. 16.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.From a rectangle 12 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A wall is 11 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
21. 21.A square has a perimeter of 56 cm. What is its area (in square cm)?
22. 22.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 8 cm long and 10 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 18 cm long and 14 cm wide, a rectangle 16 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
29. 29.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
31. 31.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 16 cm. What is its area (in square cm)?
33. 33.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A square has a perimeter of 52 cm. What is its area (in square cm)?
35. 35.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 60 cm. What is its area (in square cm)?
38. 38.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
40. 40.From a rectangle 8 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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