Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 278 · 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 10 cm long and 14 cm wide, a rectangle 8 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 62 cm and its length is 28 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
4. 4.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 20 cm long and 11 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.From a rectangle 10 cm long and 12 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 20 cm long and 9 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 44 cm. What is its area (in square cm)?
12. 12.A rectangular field is 60 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 56 cm and its length is 21 cm. What is its width (in cm)?
14. 14.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
16. 16.Each side of a square is 18 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
20. 20.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 17 cm long and 8 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)?
22. 22.From a rectangle 9 cm long and 13 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
24. 24.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 17 cm long and 7 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
28. 28.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
29. 29.From a rectangle 16 cm long and 7 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
31. 31.From a rectangle 11 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)?
32. 32.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
34. 34.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A square has a perimeter of 8 cm. What is its area (in square cm)?
36. 36.A square has a perimeter of 80 cm. What is its area (in square cm)?
37. 37.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
38. 38.Each side of a square is 11 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 70 cm and its length is 29 cm. What is its width (in cm)?
40. 40.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?

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