Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 357 · 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 20 cm. What is its area (in square cm)?
2. 2.From a rectangle 20 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)?
3. 3.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
4. 4.From a rectangle 18 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 15 cm long and 7 cm wide, a rectangle 13 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 20 cm long and 11 cm wide, a rectangle 17 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
10. 10.The perimeter of a rectangle is 50 cm and its length is 18 cm. What is its width (in cm)?
11. 11.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
12. 12.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 16 cm long and 6 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
14. 14.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 8 cm. What is its area (in square cm)?
16. 16.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of a square is 21 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 60 cm. What is its area (in square cm)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
22. 22.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.Each side of a square is 24 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 9 cm long and 9 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
26. 26.A wall is 7 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 15 cm long and 13 cm wide, a rectangle 13 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
30. 30.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 ₹)?
31. 31.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 86 cm and its length is 22 cm. What is its width (in cm)?
37. 37.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 17 cm long and 8 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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