Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 316 · 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.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 56 cm. What is its area (in square cm)?
3. 3.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
5. 5.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 17 cm long and 12 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.From a rectangle 20 cm long and 13 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 17 cm long and 6 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)?
10. 10.From a rectangle 9 cm long and 8 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)?
11. 11.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 8 cm. What is its area (in square cm)?
13. 13.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
15. 15.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
16. 16.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
20. 20.The perimeter of a rectangle is 72 cm and its length is 28 cm. What is its width (in cm)?
21. 21.From a rectangle 13 cm long and 15 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 44 cm and its length is 16 cm. What is its width (in cm)?
24. 24.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
28. 28.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
29. 29.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.From a rectangle 16 cm long and 13 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
33. 33.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
34. 34.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A square has a perimeter of 28 cm. What is its area (in square cm)?
36. 36.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
37. 37.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A square has a perimeter of 76 cm. What is its area (in square cm)?
39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
40. 40.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?

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