Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 474 · 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 12 cm long and 10 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)?
2. 2.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
4. 4.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
7. 7.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 ₹)?
8. 8.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
10. 10.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
11. 11.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
12. 12.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
13. 13.From a rectangle 19 cm long and 12 cm wide, a rectangle 9 cm by 3 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 48 cm and its length is 15 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 46 cm and its length is 19 cm. What is its width (in cm)?
16. 16.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.From a rectangle 12 cm long and 8 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
22. 22.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 ₹)?
23. 23.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 106 cm and its length is 30 cm. What is its width (in cm)?
26. 26.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 ₹)?
27. 27.From a rectangle 8 cm long and 9 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)?
28. 28.From a rectangle 7 cm long and 14 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A square has a perimeter of 32 cm. What is its area (in square cm)?
30. 30.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.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 ₹)?
32. 32.A wall is 10 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 18 cm long and 5 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
39. 39.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?

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