Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 650 · 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 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
4. 4.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
6. 6.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
9. 9.A square has a perimeter of 68 cm. What is its area (in square cm)?
10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
11. 11.A square has a perimeter of 28 cm. What is its area (in square cm)?
12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
13. 13.The perimeter of a rectangle is 56 cm and its length is 26 cm. What is its width (in cm)?
14. 14.From a rectangle 16 cm long and 11 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)?
15. 15.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
16. 16.A wall is 3 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
18. 18.A wall is 6 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 18 cm long and 6 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)?
20. 20.A square has a perimeter of 48 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 88 cm and its length is 27 cm. What is its width (in cm)?
22. 22.From a rectangle 15 cm long and 13 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 16 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.From a rectangle 8 cm long and 6 cm wide, a rectangle 2 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 a regular hexagon is 20 cm. What is its perimeter (in cm)?
26. 26.A wall is 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.From a rectangle 18 cm long and 6 cm wide, a rectangle 16 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
28. 28.Each side of a square is 9 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
30. 30.From a rectangle 13 cm long and 15 cm wide, a rectangle 2 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A wall is 10 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
33. 33.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
34. 34.A wall is 4 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
36. 36.A square has a perimeter of 56 cm. What is its area (in square cm)?
37. 37.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 8 cm. What is its area (in square cm)?
39. 39.From a rectangle 9 cm long and 11 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?

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