Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 330 · 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 7 cm long and 15 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.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 ₹)?
5. 5.From a rectangle 18 cm long and 10 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
8. 8.From a rectangle 9 cm long and 7 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
10. 10.The perimeter of a rectangle is 60 cm and its length is 25 cm. What is its width (in cm)?
11. 11.A wall is 4 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.A square has a perimeter of 52 cm. What is its area (in square cm)?
13. 13.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
15. 15.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.From a rectangle 10 cm long and 12 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A square has a perimeter of 40 cm. What is its area (in square cm)?
19. 19.From a rectangle 16 cm long and 10 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
21. 21.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
23. 23.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
24. 24.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.From a rectangle 19 cm long and 7 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)?
27. 27.A square has a perimeter of 68 cm. What is its area (in square cm)?
28. 28.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 19 cm long and 15 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 12 cm long and 12 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 12 cm long and 15 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
36. 36.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.From a rectangle 11 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A wall is 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
39. 39.From a rectangle 18 cm long and 8 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)?
40. 40.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?

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