Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 288 · 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 square is 24 cm. What is its perimeter (in cm)?
2. 2.A square has a perimeter of 16 cm. What is its area (in square cm)?
3. 3.From a rectangle 10 cm long and 10 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)?
4. 4.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A square has a perimeter of 64 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 32 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 68 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 76 cm. What is its area (in square cm)?
10. 10.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 ₹)?
11. 11.A wall is 7 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A wall is 11 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 7 cm long and 12 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.The perimeter of a rectangle is 60 cm and its length is 28 cm. What is its width (in cm)?
15. 15.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.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 ₹)?
17. 17.Each side of a square is 14 cm. What is its perimeter (in cm)?
18. 18.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 7 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A square has a perimeter of 44 cm. What is its area (in square cm)?
22. 22.A square has a perimeter of 48 cm. What is its area (in square cm)?
23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
25. 25.A square has a perimeter of 72 cm. What is its area (in square cm)?
26. 26.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
27. 27.The perimeter of a rectangle is 72 cm and its length is 24 cm. What is its width (in cm)?
28. 28.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A square has a perimeter of 28 cm. What is its area (in square cm)?
31. 31.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
33. 33.The perimeter of a rectangle is 50 cm and its length is 13 cm. What is its width (in cm)?
34. 34.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
35. 35.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 ₹)?
36. 36.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 56 cm and its length is 26 cm. What is its width (in cm)?
38. 38.From a rectangle 13 cm long and 9 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?

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