Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 335 · 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.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
2. 2.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 52 cm. What is its area (in square cm)?
4. 4.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 11 cm long and 8 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.The perimeter of a rectangle is 92 cm and its length is 29 cm. What is its width (in cm)?
8. 8.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 12 cm long and 5 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)?
14. 14.From a rectangle 7 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 16 cm. What is its area (in square cm)?
19. 19.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a square is 22 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
22. 22.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 76 cm. What is its area (in square cm)?
24. 24.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
27. 27.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 7 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A wall is 7 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
32. 32.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
33. 33.From a rectangle 13 cm long and 15 cm wide, a rectangle 11 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a square is 12 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 9 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 13 cm long and 13 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 64 cm. What is its area (in square cm)?

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