Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 533 · 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 108 cm and its length is 30 cm. What is its width (in cm)?
2. 2.From a rectangle 14 cm long and 10 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.From a rectangle 18 cm long and 12 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.From a rectangle 6 cm long and 5 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)?
5. 5.The perimeter of a rectangle is 58 cm and its length is 25 cm. What is its width (in cm)?
6. 6.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
7. 7.From a rectangle 15 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
10. 10.From a rectangle 10 cm long and 9 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)?
11. 11.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
14. 14.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
16. 16.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
17. 17.The perimeter of a rectangle is 100 cm and its length is 29 cm. What is its width (in cm)?
18. 18.A wall is 3 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.A square has a perimeter of 48 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 32 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 118 cm and its length is 30 cm. What is its width (in cm)?
22. 22.Each side of a square is 2 cm. What is its perimeter (in cm)?
23. 23.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.From a rectangle 6 cm long and 15 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.From a rectangle 17 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
28. 28.The perimeter of a rectangle is 94 cm and its length is 28 cm. What is its width (in cm)?
29. 29.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
30. 30.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
31. 31.Each side of a square is 16 cm. What is its perimeter (in cm)?
32. 32.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
34. 34.From a rectangle 19 cm long and 12 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)?
35. 35.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of a square is 12 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 20 cm long and 15 cm wide, a rectangle 15 cm by 13 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 pentagon is 16 cm. What is its perimeter (in cm)?
40. 40.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?

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