Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 170 · 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 70 cm and its length is 18 cm. What is its width (in cm)?
2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
3. 3.Each side of a square is 4 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
5. 5.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
7. 7.From a rectangle 8 cm long and 11 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)?
8. 8.From a rectangle 7 cm long and 8 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 68 cm and its length is 21 cm. What is its width (in cm)?
12. 12.Each side of a square is 20 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
14. 14.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 68 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 76 cm. What is its area (in square cm)?
17. 17.From a rectangle 16 cm long and 9 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)?
18. 18.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.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 ₹)?
20. 20.From a rectangle 10 cm long and 14 cm wide, a rectangle 8 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square 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.From a rectangle 7 cm long and 15 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
24. 24.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a square is 21 cm. What is its perimeter (in cm)?
26. 26.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
27. 27.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
28. 28.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
29. 29.From a rectangle 18 cm long and 9 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)?
30. 30.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 13 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)?
32. 32.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.The perimeter of a rectangle is 42 cm and its length is 16 cm. What is its width (in cm)?
35. 35.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
36. 36.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
37. 37.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
38. 38.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.The perimeter of a rectangle is 106 cm and its length is 27 cm. What is its width (in cm)?
40. 40.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?

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