Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 622 · 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.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.The perimeter of a rectangle is 110 cm and its length is 29 cm. What is its width (in cm)?
3. 3.A square has a perimeter of 8 cm. What is its area (in square cm)?
4. 4.From a rectangle 8 cm long and 10 cm wide, a rectangle 2 cm by 8 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 octagon is 8 cm. What is its perimeter (in cm)?
6. 6.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.The perimeter of a rectangle is 54 cm and its length is 23 cm. What is its width (in cm)?
8. 8.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
9. 9.Each side of a square is 18 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.The perimeter of a rectangle is 72 cm and its length is 30 cm. What is its width (in cm)?
12. 12.The perimeter of a rectangle is 26 cm and its length is 11 cm. What is its width (in cm)?
13. 13.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
14. 14.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
17. 17.From a rectangle 11 cm long and 11 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)?
18. 18.A square has a perimeter of 60 cm. What is its area (in square cm)?
19. 19.From a rectangle 10 cm long and 9 cm wide, a rectangle 6 cm by 1 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 15 cm. What is its perimeter (in cm)?
21. 21.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.From a rectangle 18 cm long and 14 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
24. 24.A square has a perimeter of 76 cm. What is its area (in square cm)?
25. 25.A wall is 6 m long and 4 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 10 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.From a rectangle 18 cm long and 15 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)?
28. 28.A square has a perimeter of 52 cm. What is its area (in square cm)?
29. 29.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
30. 30.A wall is 4 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
32. 32.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
33. 33.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
34. 34.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 ₹)?
35. 35.From a rectangle 11 cm long and 15 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)?
36. 36.From a rectangle 15 cm long and 14 cm wide, a rectangle 13 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
40. 40.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

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