Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 235 · 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 24 cm. What is its area (in square cm)?
2. 2.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
3. 3.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
5. 5.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
6. 6.Each side of an equilateral triangle is 25 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
8. 8.A wall is 3 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
10. 10.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
11. 11.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
12. 12.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
13. 13.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
14. 14.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
15. 15.A square has a perimeter of 60 cm. What is its area (in square cm)?
16. 16.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
17. 17.From a rectangle 18 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)?
18. 18.From a rectangle 14 cm long and 8 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
19. 19.From a rectangle 20 cm long and 13 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
20. 20.From a rectangle 19 cm long and 10 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
21. 21.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
22. 22.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
23. 23.A square has a perimeter of 68 cm. What is its area (in square cm)?
24. 24.From a rectangle 15 cm long and 13 cm wide, a rectangle 1 cm by 9 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 hexagon is 10 cm. What is its perimeter (in cm)?
26. 26.A square has a perimeter of 56 cm. What is its area (in square cm)?
27. 27.A square has a perimeter of 52 cm. What is its area (in square cm)?
28. 28.A square has a perimeter of 72 cm. What is its area (in square cm)?
29. 29.Each side of a square is 12 cm. What is its perimeter (in cm)?
30. 30.From a rectangle 8 cm long and 12 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
31. 31.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.From a rectangle 12 cm long and 6 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)?
33. 33.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
34. 34.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
35. 35.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
36. 36.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
37. 37.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
38. 38.A square has a perimeter of 64 cm. What is its area (in square cm)?
39. 39.A wall is 3 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
40. 40.From a rectangle 11 cm long and 7 cm wide, a rectangle 7 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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