Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 156 · 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 15 cm long and 11 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
3. 3.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 9 m long and 6 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.From a rectangle 18 cm long and 13 cm wide, a rectangle 14 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 56 cm. What is its area (in square 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 hexagon is 25 cm. What is its perimeter (in cm)?
12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
13. 13.A wall is 6 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
15. 15.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 16 cm long and 12 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)?
17. 17.Each side of a square is 2 cm. What is its perimeter (in cm)?
18. 18.From a rectangle 15 cm long and 11 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.From a rectangle 18 cm long and 6 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A wall is 8 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
25. 25.From a rectangle 11 cm long and 13 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)?
26. 26.From a rectangle 12 cm long and 6 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)?
27. 27.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
29. 29.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
30. 30.A square has a perimeter of 8 cm. What is its area (in square cm)?
31. 31.From a rectangle 11 cm long and 12 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
32. 32.From a rectangle 15 cm long and 9 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
35. 35.A square has a perimeter of 64 cm. What is its area (in square cm)?
36. 36.A rectangular field is 100 m long and 90 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 65 m long and 50 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
40. 40.A square has a perimeter of 16 cm. What is its area (in square cm)?

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