Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 402 · 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 16 cm long and 7 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)?
2. 2.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
4. 4.A wall is 11 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.From a rectangle 19 cm long and 7 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)?
7. 7.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 20 cm long and 15 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
10. 10.A wall is 7 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A square has a perimeter of 36 cm. What is its area (in square cm)?
13. 13.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
14. 14.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 76 cm. What is its area (in square cm)?
16. 16.Each side of a square is 4 cm. What is its perimeter (in cm)?
17. 17.A square has a perimeter of 12 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
19. 19.From a rectangle 17 cm long and 12 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 20 cm long and 13 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a square is 24 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.From a rectangle 18 cm long and 6 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)?
25. 25.Each side of a square is 11 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
27. 27.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
28. 28.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.From a rectangle 11 cm long and 6 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.Each side of a square is 19 cm. What is its perimeter (in cm)?
31. 31.A square has a perimeter of 20 cm. What is its area (in square cm)?
32. 32.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 19 cm long and 8 cm wide, a rectangle 15 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.The perimeter of a rectangle is 38 cm and its length is 10 cm. What is its width (in cm)?
35. 35.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
36. 36.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
38. 38.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
39. 39.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 9 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)?

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