Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 362 · 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 48 cm. What is its area (in square cm)?
2. 2.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 68 cm and its length is 22 cm. What is its width (in cm)?
5. 5.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.A wall is 10 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?
11. 11.From a rectangle 8 cm long and 13 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)?
12. 12.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A square has a perimeter of 16 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
15. 15.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
16. 16.A square has a perimeter of 20 cm. What is its area (in square cm)?
17. 17.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
18. 18.A square has a perimeter of 72 cm. What is its area (in square cm)?
19. 19.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 13 cm long and 14 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
22. 22.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
23. 23.A square has a perimeter of 76 cm. What is its area (in square cm)?
24. 24.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
25. 25.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.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 ₹)?
28. 28.A square has a perimeter of 68 cm. What is its area (in square cm)?
29. 29.From a rectangle 20 cm long and 6 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)?
30. 30.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 19 cm long and 6 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)?
32. 32.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.From a rectangle 7 cm long and 14 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A wall is 3 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 7 cm long and 8 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 3 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.A square has a perimeter of 36 cm. What is its area (in square cm)?
39. 39.From a rectangle 7 cm long and 12 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)?
40. 40.The perimeter of a rectangle is 54 cm and its length is 25 cm. What is its width (in cm)?

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