Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 581 · 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.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A square has a perimeter of 12 cm. What is its area (in square cm)?
4. 4.Each side of a square is 6 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 15 cm long and 15 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.Each side of a square is 5 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 16 cm long and 10 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.From a rectangle 11 cm long and 15 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)?
9. 9.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
10. 10.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 58 cm and its length is 27 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 64 cm. What is its area (in square cm)?
14. 14.A wall is 6 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 20 cm. What is its area (in square cm)?
16. 16.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
21. 21.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.From a rectangle 20 cm long and 12 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A square has a perimeter of 16 cm. What is its area (in square cm)?
24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
25. 25.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 18 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
29. 29.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 36 cm. What is its area (in square cm)?
32. 32.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.Each side of a square is 3 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 19 cm long and 5 cm wide, a rectangle 16 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of a square is 23 cm. What is its perimeter (in cm)?
38. 38.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 ₹)?
39. 39.From a rectangle 9 cm long and 11 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.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 ₹)?

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