Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 680 · 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 square has a perimeter of 72 cm. What is its area (in square cm)?
2. 2.From a rectangle 8 cm long and 6 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)?
3. 3.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.A rectangular field is 60 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
5. 5.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
7. 7.From a rectangle 19 cm long and 8 cm wide, a rectangle 14 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A wall is 12 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
11. 11.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
12. 12.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
13. 13.A square has a perimeter of 56 cm. What is its area (in square cm)?
14. 14.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
15. 15.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
17. 17.A square has a perimeter of 52 cm. What is its area (in square cm)?
18. 18.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
19. 19.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
20. 20.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
22. 22.From a rectangle 10 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.From a rectangle 10 cm long and 9 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
24. 24.From a rectangle 18 cm long and 9 cm wide, a rectangle 7 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
25. 25.A wall is 4 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
26. 26.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
28. 28.From a rectangle 12 cm long and 10 cm wide, a rectangle 10 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
30. 30.A square has a perimeter of 60 cm. What is its area (in square cm)?
31. 31.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
32. 32.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
33. 33.From a rectangle 7 cm long and 12 cm wide, a rectangle 5 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.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 ₹)?
35. 35.From a rectangle 8 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
36. 36.From a rectangle 6 cm long and 12 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
37. 37.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 ₹)?
38. 38.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
39. 39.The perimeter of a rectangle is 62 cm and its length is 25 cm. What is its width (in cm)?
40. 40.From a rectangle 7 cm long and 8 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)?

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