Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 122 · 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 19 cm long and 13 cm wide, a rectangle 16 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 64 cm. What is its area (in square cm)?
4. 4.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
5. 5.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 6 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
8. 8.Each side of a square is 12 cm. What is its perimeter (in cm)?
9. 9.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.From a rectangle 17 cm long and 15 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 14 cm long and 15 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A square has a perimeter of 8 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
15. 15.From a rectangle 17 cm long and 7 cm wide, a rectangle 14 cm by 5 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 28 cm and its length is 8 cm. What is its width (in cm)?
17. 17.From a rectangle 14 cm long and 11 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 8 cm long and 5 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A square has a perimeter of 52 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 42 cm and its length is 14 cm. What is its width (in cm)?
25. 25.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
26. 26.From a rectangle 13 cm long and 14 cm wide, a rectangle 8 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 10 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
30. 30.Each side of a square is 17 cm. What is its perimeter (in cm)?
31. 31.Each side of a square is 3 cm. What is its perimeter (in cm)?
32. 32.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
34. 34.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
35. 35.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A wall is 8 m long and 2 m high. Painting costs ₹40 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 ₹25 per square metre. What is the cost of painting the wall (in ₹)?

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