Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 407 · 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 45 m long and 20 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
3. 3.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
4. 4.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A square has a perimeter of 8 cm. What is its area (in square cm)?
6. 6.A wall is 8 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.From a rectangle 15 cm long and 14 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
9. 9.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
10. 10.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
11. 11.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
13. 13.A wall is 9 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 48 cm. What is its area (in square cm)?
15. 15.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
17. 17.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
20. 20.A square has a perimeter of 68 cm. What is its area (in square cm)?
21. 21.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
22. 22.A square has a perimeter of 36 cm. What is its area (in square cm)?
23. 23.From a rectangle 15 cm long and 5 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)?
24. 24.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.A square has a perimeter of 20 cm. What is its area (in square cm)?
26. 26.Each side of a square is 3 cm. What is its perimeter (in cm)?
27. 27.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
28. 28.Each side of a square is 2 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 12 cm long and 14 cm wide, a rectangle 5 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
30. 30.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.From a rectangle 15 cm long and 7 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)?
32. 32.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.A wall is 3 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.A square has a perimeter of 40 cm. What is its area (in square cm)?
35. 35.From a rectangle 13 cm long and 6 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 42 cm and its length is 15 cm. What is its width (in cm)?
38. 38.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
39. 39.From a rectangle 7 cm long and 10 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)?
40. 40.Each side of a square is 19 cm. What is its perimeter (in cm)?

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