Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 169 · 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 90 cm and its length is 29 cm. What is its width (in cm)?
2. 2.From a rectangle 19 cm long and 15 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)?
3. 3.Each side of a square is 22 cm. What is its perimeter (in cm)?
4. 4.A square has a perimeter of 44 cm. What is its area (in square cm)?
5. 5.A wall is 11 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A square has a perimeter of 12 cm. What is its area (in square cm)?
7. 7.From a rectangle 17 cm long and 7 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A wall is 11 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
11. 11.From a rectangle 16 cm long and 6 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
13. 13.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.A square has a perimeter of 56 cm. What is its area (in square cm)?
15. 15.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A square has a perimeter of 80 cm. What is its area (in square cm)?
18. 18.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
19. 19.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.A wall is 5 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
22. 22.From a rectangle 8 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)?
23. 23.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
24. 24.From a rectangle 7 cm long and 5 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.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
26. 26.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A wall is 8 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of a square is 5 cm. What is its perimeter (in cm)?
29. 29.From a rectangle 10 cm long and 9 cm wide, a rectangle 7 cm by 5 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 68 cm. What is its area (in square cm)?
31. 31.A square has a perimeter of 48 cm. What is its area (in square cm)?
32. 32.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
34. 34.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
36. 36.A square has a perimeter of 24 cm. What is its area (in square cm)?
37. 37.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.From a rectangle 15 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
39. 39.A square has a perimeter of 52 cm. What is its area (in square cm)?
40. 40.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

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