Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 229 · 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.Each side of a square is 3 cm. What is its perimeter (in cm)?
2. 2.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.From a rectangle 8 cm long and 13 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)?
4. 4.A square has a perimeter of 76 cm. What is its area (in square cm)?
5. 5.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
6. 6.The perimeter of a rectangle is 88 cm and its length is 27 cm. What is its width (in cm)?
7. 7.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.A square has a perimeter of 12 cm. What is its area (in square cm)?
9. 9.A square has a perimeter of 40 cm. What is its area (in square cm)?
10. 10.From a rectangle 20 cm long and 9 cm wide, a rectangle 17 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
12. 12.A wall is 10 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 15 cm long and 10 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)?
14. 14.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 60 cm. What is its area (in square cm)?
16. 16.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
18. 18.From a rectangle 19 cm long and 10 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 6 cm long and 5 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
22. 22.The perimeter of a rectangle is 44 cm and its length is 15 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 64 cm. What is its area (in square cm)?
24. 24.Each side of a square is 16 cm. What is its perimeter (in cm)?
25. 25.A square has a perimeter of 72 cm. What is its area (in square cm)?
26. 26.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.From a rectangle 10 cm long and 12 cm wide, a rectangle 5 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
29. 29.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 14 cm long and 14 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 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
35. 35.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
36. 36.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
37. 37.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
39. 39.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 9 cm long and 7 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)?

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