Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 418 · 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 wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.The perimeter of a rectangle is 64 cm and its length is 21 cm. What is its width (in cm)?
3. 3.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 13 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
8. 8.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.From a rectangle 17 cm long and 10 cm wide, a rectangle 11 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A wall is 7 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 16 cm long and 11 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 14 cm long and 15 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)?
16. 16.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 13 cm long and 7 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 17 cm long and 15 cm wide, a rectangle 8 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.From a rectangle 9 cm long and 15 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
23. 23.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
25. 25.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 44 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 60 cm and its length is 20 cm. What is its width (in cm)?
29. 29.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.Each side of a square is 4 cm. What is its perimeter (in cm)?
31. 31.A wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
33. 33.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
34. 34.A wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.From a rectangle 11 cm long and 15 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹16 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.From a rectangle 8 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.Each side of a square is 17 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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