Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 117 · 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 30 cm and its length is 8 cm. What is its width (in cm)?
2. 2.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.Each side of a square is 4 cm. What is its perimeter (in cm)?
4. 4.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 20 cm long and 9 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A square has a perimeter of 20 cm. What is its area (in square cm)?
7. 7.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 80 cm. What is its area (in square cm)?
10. 10.From a rectangle 19 cm long and 12 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
12. 12.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
15. 15.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
18. 18.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
20. 20.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a square is 21 cm. What is its perimeter (in cm)?
22. 22.Each side of a square is 16 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 64 cm and its length is 23 cm. What is its width (in cm)?
24. 24.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
25. 25.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
28. 28.A wall is 12 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 76 cm. What is its area (in square cm)?
33. 33.A wall is 10 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 17 cm long and 11 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 32 cm. What is its area (in square cm)?
37. 37.A square has a perimeter of 56 cm. What is its area (in square cm)?
38. 38.A square has a perimeter of 44 cm. What is its area (in square cm)?
39. 39.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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