Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 458 · 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.From a rectangle 20 cm long and 9 cm wide, a rectangle 17 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 12 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 6 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.From a rectangle 15 cm long and 5 cm wide, a rectangle 1 cm by 3 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 40 cm. What is its area (in square cm)?
7. 7.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
9. 9.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.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 ₹)?
11. 11.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
12. 12.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 10 cm long and 9 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)?
14. 14.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
16. 16.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.The perimeter of a rectangle is 116 cm and its length is 30 cm. What is its width (in cm)?
18. 18.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 14 cm long and 9 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 6 cm long and 8 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.A rectangular field is 80 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.From a rectangle 9 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
28. 28.A wall is 8 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.From a rectangle 9 cm long and 13 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)?
31. 31.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
32. 32.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A square has a perimeter of 12 cm. What is its area (in square cm)?
40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?

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