Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 520 · 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 square has a perimeter of 40 cm. What is its area (in square cm)?
2. 2.From a rectangle 13 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 2 cm. What is its perimeter (in cm)?
8. 8.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
10. 10.A wall is 4 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.From a rectangle 12 cm long and 7 cm wide, a rectangle 1 cm by 1 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 70 cm and its length is 22 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
16. 16.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
17. 17.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
19. 19.From a rectangle 14 cm long and 10 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A square has a perimeter of 48 cm. What is its area (in square cm)?
21. 21.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.From a rectangle 17 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 12 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
27. 27.A square has a perimeter of 32 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
29. 29.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 7 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 19 cm long and 5 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
36. 36.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
37. 37.A wall is 9 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 20 cm long and 14 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 17 cm long and 14 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)?
40. 40.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?

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