Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 429 · 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 88 cm and its length is 23 cm. What is its width (in cm)?
2. 2.From a rectangle 19 cm long and 13 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
3. 3.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
5. 5.A wall is 9 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 24 cm. What is its area (in square cm)?
7. 7.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 ₹)?
8. 8.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
9. 9.The perimeter of a rectangle is 56 cm and its length is 18 cm. What is its width (in cm)?
10. 10.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a square is 19 cm. What is its perimeter (in cm)?
12. 12.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
13. 13.A square has a perimeter of 44 cm. What is its area (in square cm)?
14. 14.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 ₹)?
15. 15.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
17. 17.From a rectangle 15 cm long and 15 cm wide, a rectangle 3 cm by 5 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 48 cm. What is its area (in square cm)?
19. 19.From a rectangle 9 cm long and 11 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 hexagon is 11 cm. What is its perimeter (in cm)?
21. 21.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 9 cm long and 13 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)?
23. 23.A square has a perimeter of 40 cm. What is its area (in square cm)?
24. 24.A wall is 3 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
25. 25.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
26. 26.The perimeter of a rectangle is 28 cm and its length is 10 cm. What is its width (in cm)?
27. 27.A square has a perimeter of 20 cm. What is its area (in square cm)?
28. 28.A wall is 12 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.The perimeter of a rectangle is 46 cm and its length is 15 cm. What is its width (in cm)?
30. 30.A square has a perimeter of 12 cm. What is its area (in square cm)?
31. 31.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 72 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 28 cm. What is its area (in square cm)?
34. 34.A square has a perimeter of 56 cm. What is its area (in square cm)?
35. 35.The perimeter of a rectangle is 36 cm and its length is 12 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 100 cm and its length is 26 cm. What is its width (in cm)?
37. 37.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
38. 38.From a rectangle 7 cm long and 15 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.From a rectangle 10 cm long and 8 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)?
40. 40.From a rectangle 6 cm long and 12 cm wide, a rectangle 3 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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