Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 18 · 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.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 52 cm. What is its area (in square cm)?
3. 3.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 64 cm. What is its area (in square cm)?
5. 5.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.Each side of a square is 2 cm. What is its perimeter (in cm)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.From a rectangle 7 cm long and 12 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.From a rectangle 18 cm long and 7 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)?
11. 11.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
12. 12.From a rectangle 11 cm long and 15 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
14. 14.A square has a perimeter of 48 cm. What is its area (in square cm)?
15. 15.A square has a perimeter of 72 cm. What is its area (in square cm)?
16. 16.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
18. 18.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 12 cm. What is its area (in square cm)?
25. 25.A square has a perimeter of 76 cm. What is its area (in square cm)?
26. 26.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 74 cm and its length is 29 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 56 cm and its length is 25 cm. What is its width (in cm)?
30. 30.From a rectangle 9 cm long and 15 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.From a rectangle 14 cm long and 8 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
33. 33.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.Each side of a square is 8 cm. What is its perimeter (in cm)?
36. 36.A square has a perimeter of 44 cm. What is its area (in square cm)?
37. 37.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
40. 40.From a rectangle 13 cm long and 15 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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