Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 464 · 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 72 cm and its length is 30 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.From a rectangle 10 cm long and 7 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)?
4. 4.From a rectangle 6 cm long and 11 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
5. 5.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
6. 6.From a rectangle 12 cm long and 6 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)?
7. 7.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.From a rectangle 7 cm long and 13 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
11. 11.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 68 cm and its length is 19 cm. What is its width (in cm)?
14. 14.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
16. 16.From a rectangle 9 cm long and 7 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)?
17. 17.The perimeter of a rectangle is 32 cm and its length is 13 cm. What is its width (in cm)?
18. 18.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 16 cm long and 14 cm wide, a rectangle 8 cm by 4 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 16 cm. What is its area (in square cm)?
21. 21.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.Each side of a square is 21 cm. What is its perimeter (in cm)?
23. 23.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
24. 24.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
26. 26.A square has a perimeter of 52 cm. What is its area (in square cm)?
27. 27.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
28. 28.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.A wall is 11 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
31. 31.A wall is 5 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.A square has a perimeter of 76 cm. What is its area (in square cm)?
33. 33.A square has a perimeter of 48 cm. What is its area (in square cm)?
34. 34.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
35. 35.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
37. 37.Each side of a square is 19 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 8 cm. What is its area (in square cm)?
39. 39.From a rectangle 7 cm long and 12 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 28 cm. What is its area (in square cm)?

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