Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 364 · 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 11 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
5. 5.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.A wall is 7 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
9. 9.From a rectangle 19 cm long and 15 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.From a rectangle 11 cm long and 8 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
12. 12.Each side of a square is 3 cm. What is its perimeter (in cm)?
13. 13.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.From a rectangle 8 cm long and 9 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)?
15. 15.From a rectangle 6 cm long and 14 cm wide, a rectangle 4 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A wall is 7 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 10 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
22. 22.Each side of a square is 9 cm. What is its perimeter (in cm)?
23. 23.From a rectangle 15 cm long and 7 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)?
24. 24.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
25. 25.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
28. 28.Each side of a square is 19 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
30. 30.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
31. 31.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 17 cm long and 11 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A square has a perimeter of 60 cm. What is its area (in square cm)?
36. 36.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A square has a perimeter of 24 cm. What is its area (in square cm)?
38. 38.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 5 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A wall is 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

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