Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 130 · 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.From a rectangle 17 cm long and 13 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
2. 2.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
3. 3.The perimeter of a rectangle is 74 cm and its length is 24 cm. What is its width (in cm)?
4. 4.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
5. 5.From a rectangle 6 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)?
6. 6.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 19 cm long and 9 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)?
8. 8.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
10. 10.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.From a rectangle 17 cm long and 5 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)?
13. 13.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
14. 14.A square has a perimeter of 12 cm. What is its area (in square cm)?
15. 15.From a rectangle 7 cm long and 8 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A square has a perimeter of 16 cm. What is its area (in square cm)?
17. 17.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 17 cm long and 12 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 wall is 6 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
21. 21.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 17 cm long and 7 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)?
23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
24. 24.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
26. 26.From a rectangle 12 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
29. 29.The perimeter of a rectangle is 60 cm and its length is 17 cm. What is its width (in cm)?
30. 30.From a rectangle 11 cm long and 9 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)?
31. 31.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
33. 33.From a rectangle 17 cm long and 15 cm wide, a rectangle 14 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
34. 34.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 ₹)?
35. 35.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
36. 36.From a rectangle 16 cm long and 14 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)?
37. 37.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
39. 39.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

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