Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 178 · 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.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
2. 2.From a rectangle 15 cm long and 14 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
4. 4.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
6. 6.From a rectangle 11 cm long and 5 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.The perimeter of a rectangle is 66 cm and its length is 23 cm. What is its width (in cm)?
8. 8.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
10. 10.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 ₹)?
11. 11.A square has a perimeter of 64 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 60 cm. What is its area (in square cm)?
13. 13.Each side of a square is 5 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.From a rectangle 8 cm long and 9 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 16 cm. What is its area (in square cm)?
20. 20.From a rectangle 18 cm long and 15 cm wide, a rectangle 11 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.From a rectangle 7 cm long and 6 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A square has a perimeter of 28 cm. What is its area (in square cm)?
25. 25.A wall is 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
27. 27.From a rectangle 12 cm long and 9 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)?
28. 28.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.The perimeter of a rectangle is 48 cm and its length is 18 cm. What is its width (in cm)?
31. 31.A square has a perimeter of 40 cm. What is its area (in square cm)?
32. 32.Each side of a square is 12 cm. What is its perimeter (in cm)?
33. 33.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 ₹)?
34. 34.A wall is 9 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 5 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
38. 38.From a rectangle 11 cm long and 5 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)?
39. 39.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
40. 40.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?

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