Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 298 · 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 10 cm long and 15 cm wide, a rectangle 4 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
3. 3.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
4. 4.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
6. 6.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.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 ₹)?
8. 8.From a rectangle 15 cm long and 13 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
11. 11.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.From a rectangle 20 cm long and 5 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)?
14. 14.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
15. 15.From a rectangle 16 cm long and 15 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
17. 17.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
21. 21.Each side of a square is 17 cm. What is its perimeter (in cm)?
22. 22.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
24. 24.A wall is 5 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A square has a perimeter of 20 cm. What is its area (in square cm)?
26. 26.A square has a perimeter of 8 cm. What is its area (in square cm)?
27. 27.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
28. 28.From a rectangle 18 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.From a rectangle 20 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 9 cm long and 13 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)?
32. 32.From a rectangle 8 cm long and 14 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
34. 34.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
35. 35.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.From a rectangle 18 cm long and 11 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A square has a perimeter of 68 cm. What is its area (in square cm)?
38. 38.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
39. 39.The perimeter of a rectangle is 56 cm and its length is 15 cm. What is its width (in cm)?
40. 40.From a rectangle 15 cm long and 5 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)?

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