Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 625 · 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 6 cm long and 10 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)?
2. 2.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 72 cm. What is its area (in square cm)?
4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
5. 5.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
7. 7.Each side of a square is 11 cm. What is its perimeter (in cm)?
8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
9. 9.From a rectangle 10 cm long and 12 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
10. 10.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
11. 11.A square has a perimeter of 32 cm. What is its area (in square cm)?
12. 12.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
13. 13.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
14. 14.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 8 cm long and 14 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
17. 17.From a rectangle 7 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
18. 18.Each side of a square is 9 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 55 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
20. 20.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
21. 21.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
22. 22.From a rectangle 16 cm long and 9 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)?
23. 23.From a rectangle 12 cm long and 5 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)?
24. 24.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
25. 25.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
26. 26.From a rectangle 20 cm long and 10 cm wide, a rectangle 12 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
29. 29.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
30. 30.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
31. 31.From a rectangle 8 cm long and 14 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)?
32. 32.From a rectangle 16 cm long and 14 cm wide, a rectangle 13 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
33. 33.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
35. 35.A wall is 6 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 64 cm. What is its area (in square cm)?
37. 37.From a rectangle 18 cm long and 10 cm wide, a rectangle 11 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
38. 38.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 9 cm long and 12 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)?
40. 40.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?

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