Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 428 · 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 ₹40 per square metre. What is the cost of painting the wall (in ₹)?
2. 2.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
4. 4.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 7 cm long and 6 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)?
6. 6.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
7. 7.From a rectangle 8 cm long and 8 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
9. 9.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
11. 11.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
12. 12.A wall is 9 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
14. 14.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 ₹)?
15. 15.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.From a rectangle 17 cm long and 6 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)?
17. 17.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.Each side of a square is 7 cm. What is its perimeter (in cm)?
19. 19.From a rectangle 12 cm long and 8 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)?
20. 20.A square has a perimeter of 64 cm. What is its area (in square cm)?
21. 21.A square has a perimeter of 36 cm. What is its area (in square cm)?
22. 22.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
23. 23.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
24. 24.From a rectangle 7 cm long and 14 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)?
25. 25.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
26. 26.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
27. 27.A wall is 11 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
28. 28.From a rectangle 9 cm long and 12 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)?
29. 29.A square has a perimeter of 60 cm. What is its area (in square cm)?
30. 30.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
31. 31.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
32. 32.A square has a perimeter of 52 cm. What is its area (in square cm)?
33. 33.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
34. 34.From a rectangle 6 cm long and 11 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
35. 35.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
37. 37.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
39. 39.From a rectangle 17 cm long and 14 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
40. 40.A square has a perimeter of 8 cm. What is its area (in square cm)?

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