Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 431 · 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 106 cm and its length is 29 cm. What is its width (in cm)?
2. 2.A square has a perimeter of 36 cm. What is its area (in square cm)?
3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
4. 4.A wall is 8 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 42 cm and its length is 17 cm. What is its width (in cm)?
7. 7.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
8. 8.From a rectangle 14 cm long and 8 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)?
9. 9.A square has a perimeter of 56 cm. What is its area (in square cm)?
10. 10.A wall is 12 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
12. 12.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
13. 13.The perimeter of a rectangle is 86 cm and its length is 30 cm. What is its width (in cm)?
14. 14.A square has a perimeter of 64 cm. What is its area (in square cm)?
15. 15.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
16. 16.From a rectangle 8 cm long and 12 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 10 cm long and 10 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.A square has a perimeter of 44 cm. What is its area (in square cm)?
20. 20.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 28 cm and its length is 12 cm. What is its width (in cm)?
22. 22.A wall is 12 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
24. 24.A wall is 4 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.From a rectangle 13 cm long and 12 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
26. 26.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
27. 27.A wall is 10 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 8 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)?
30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
31. 31.Each side of a square is 7 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 76 cm. What is its area (in square cm)?
33. 33.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
35. 35.From a rectangle 6 cm long and 5 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)?
36. 36.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
37. 37.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
38. 38.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
39. 39.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
40. 40.From a rectangle 14 cm long and 9 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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