Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 709 · 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 an equilateral triangle is 2 cm. What is its perimeter (in cm)?
2. 2.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 11 cm long and 9 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.A square has a perimeter of 12 cm. What is its area (in square cm)?
5. 5.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 7 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 52 cm. What is its area (in square cm)?
8. 8.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.From a rectangle 11 cm long and 15 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.The perimeter of a rectangle is 54 cm and its length is 16 cm. What is its width (in cm)?
12. 12.A wall is 8 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A square has a perimeter of 24 cm. What is its area (in square cm)?
14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 19 cm long and 15 cm wide, a rectangle 10 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
18. 18.Each side of a square is 18 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A square has a perimeter of 68 cm. What is its area (in square cm)?
27. 27.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
28. 28.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
31. 31.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
34. 34.From a rectangle 15 cm long and 11 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 16 cm. What is its area (in square cm)?
36. 36.A wall is 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 20 cm long and 5 cm wide, a rectangle 17 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A wall is 8 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

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