Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 671 · 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 8 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)?
2. 2.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
3. 3.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 8 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
6. 6.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A rectangular field is 100 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
10. 10.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A wall is 9 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
14. 14.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
16. 16.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 15 cm long and 7 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)?
18. 18.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A wall is 6 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
20. 20.From a rectangle 9 cm long and 14 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
22. 22.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 ₹)?
23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
24. 24.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
25. 25.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.From a rectangle 18 cm long and 12 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 9 cm long and 6 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)?
30. 30.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 9 cm long and 14 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 32 cm. What is its area (in square cm)?
37. 37.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.A wall is 9 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?

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