Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 435 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
2. 2.Each side of a square is 10 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
5. 5.From a rectangle 19 cm long and 5 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 8 cm long and 12 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)?
9. 9.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
11. 11.A wall is 6 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 14 cm long and 6 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A wall is 12 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
16. 16.From a rectangle 15 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
18. 18.From a rectangle 16 cm long and 13 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.From a rectangle 9 cm long and 12 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)?
20. 20.A square has a perimeter of 52 cm. What is its area (in square cm)?
21. 21.From a rectangle 8 cm long and 15 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)?
22. 22.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
23. 23.A square has a perimeter of 32 cm. What is its area (in square cm)?
24. 24.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 15 cm long and 14 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)?
26. 26.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
27. 27.The perimeter of a rectangle is 66 cm and its length is 20 cm. What is its width (in cm)?
28. 28.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 ₹)?
29. 29.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
32. 32.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.From a rectangle 12 cm long and 11 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 68 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 64 cm and its length is 18 cm. What is its width (in cm)?
39. 39.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?

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