Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 577 · 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 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 48 cm. What is its area (in square cm)?
3. 3.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
5. 5.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
8. 8.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.From a rectangle 12 cm long and 15 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.A wall is 4 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.From a rectangle 20 cm long and 15 cm wide, a rectangle 10 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.From a rectangle 18 cm long and 11 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
13. 13.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
14. 14.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
15. 15.A square has a perimeter of 28 cm. What is its area (in square cm)?
16. 16.A square has a perimeter of 36 cm. What is its area (in square cm)?
17. 17.From a rectangle 13 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.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 17 cm long and 9 cm wide, a rectangle 13 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
22. 22.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
24. 24.From a rectangle 9 cm long and 8 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
26. 26.A rectangular field is 90 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A wall is 11 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
29. 29.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
32. 32.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
33. 33.From a rectangle 9 cm long and 14 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)?
34. 34.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
35. 35.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
36. 36.The perimeter of a rectangle is 114 cm and its length is 30 cm. What is its width (in cm)?
37. 37.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?
38. 38.A square has a perimeter of 68 cm. What is its area (in square cm)?
39. 39.A square has a perimeter of 76 cm. What is its area (in square cm)?
40. 40.From a rectangle 6 cm long and 7 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

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