Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 626 · 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.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
2. 2.A rectangular field is 55 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.Each side of a square is 13 cm. What is its perimeter (in cm)?
4. 4.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
5. 5.A wall is 11 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 8 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of a square is 16 cm. What is its perimeter (in cm)?
9. 9.Each side of a square is 6 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
11. 11.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
14. 14.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
16. 16.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A square has a perimeter of 64 cm. What is its area (in square cm)?
19. 19.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
20. 20.A wall is 11 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 12 cm. What is its area (in square cm)?
23. 23.From a rectangle 10 cm long and 7 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)?
24. 24.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 12 cm long and 7 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 58 cm and its length is 26 cm. What is its width (in cm)?
27. 27.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
28. 28.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 ₹)?
29. 29.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
30. 30.From a rectangle 13 cm long and 9 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.From a rectangle 12 cm long and 5 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.The perimeter of a rectangle is 100 cm and its length is 29 cm. What is its width (in cm)?
33. 33.From a rectangle 18 cm long and 11 cm wide, a rectangle 15 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.From a rectangle 11 cm long and 10 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)?
35. 35.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
36. 36.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A wall is 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

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