Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 582 · 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 wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
3. 3.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
4. 4.From a rectangle 9 cm long and 13 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)?
5. 5.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
6. 6.A square has a perimeter of 68 cm. What is its area (in square cm)?
7. 7.A square has a perimeter of 48 cm. What is its area (in square cm)?
8. 8.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
10. 10.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
12. 12.From a rectangle 13 cm long and 9 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
15. 15.From a rectangle 15 cm long and 15 cm wide, a rectangle 10 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A wall is 6 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
17. 17.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
18. 18.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
19. 19.The perimeter of a rectangle is 92 cm and its length is 24 cm. What is its width (in cm)?
20. 20.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
21. 21.From a rectangle 18 cm long and 13 cm wide, a rectangle 15 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
22. 22.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.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 ₹)?
24. 24.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A wall is 6 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
32. 32.A square has a perimeter of 56 cm. What is its area (in square cm)?
33. 33.A wall is 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 12 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)?
37. 37.From a rectangle 17 cm long and 12 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)?
38. 38.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
39. 39.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
40. 40.A wall is 8 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

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