Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 317 · 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.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
2. 2.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.From a rectangle 6 cm long and 9 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)?
5. 5.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 20 cm long and 7 cm wide, a rectangle 15 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
9. 9.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
11. 11.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 88 cm and its length is 24 cm. What is its width (in cm)?
13. 13.A wall is 4 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
15. 15.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 80 cm. What is its area (in square cm)?
17. 17.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.From a rectangle 6 cm long and 13 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)?
20. 20.A wall is 12 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.From a rectangle 6 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 48 cm. What is its area (in square cm)?
24. 24.From a rectangle 16 cm long and 8 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 15 cm long and 5 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
28. 28.From a rectangle 11 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)?
29. 29.The perimeter of a rectangle is 86 cm and its length is 30 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
31. 31.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
32. 32.From a rectangle 6 cm long and 12 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)?
33. 33.From a rectangle 17 cm long and 12 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.A square has a perimeter of 40 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
36. 36.From a rectangle 18 cm long and 12 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
38. 38.From a rectangle 15 cm long and 9 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A wall is 7 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.A square has a perimeter of 16 cm. What is its area (in square cm)?

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