Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 506 · 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 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.A square has a perimeter of 72 cm. What is its area (in square cm)?
3. 3.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
4. 4.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
5. 5.From a rectangle 17 cm long and 15 cm wide, a rectangle 1 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.From a rectangle 11 cm long and 13 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
7. 7.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
8. 8.From a rectangle 17 cm long and 6 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
9. 9.The perimeter of a rectangle is 104 cm and its length is 27 cm. What is its width (in cm)?
10. 10.From a rectangle 15 cm long and 13 cm wide, a rectangle 3 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
13. 13.A wall is 7 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
15. 15.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
17. 17.A wall is 9 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
19. 19.From a rectangle 9 cm long and 7 cm wide, a rectangle 1 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 70 m long and 55 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
22. 22.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
23. 23.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
24. 24.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 46 cm and its length is 21 cm. What is its width (in cm)?
26. 26.The perimeter of a rectangle is 70 cm and its length is 21 cm. What is its width (in cm)?
27. 27.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
29. 29.From a rectangle 14 cm long and 9 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)?
30. 30.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
31. 31.A square has a perimeter of 16 cm. What is its area (in square cm)?
32. 32.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 ₹)?
33. 33.The perimeter of a rectangle is 92 cm and its length is 25 cm. What is its width (in cm)?
34. 34.Each side of a square is 14 cm. What is its perimeter (in cm)?
35. 35.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.From a rectangle 15 cm long and 10 cm wide, a rectangle 7 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
39. 39.A square has a perimeter of 52 cm. What is its area (in square cm)?
40. 40.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?

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