Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 41 · 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 15 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 7 cm. What is its perimeter (in cm)?
3. 3.From a rectangle 7 cm long and 12 cm wide, a rectangle 4 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
4. 4.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
5. 5.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
6. 6.A wall is 11 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
7. 7.A square has a perimeter of 40 cm. What is its area (in square cm)?
8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
9. 9.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
10. 10.From a rectangle 17 cm long and 12 cm wide, a rectangle 12 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
11. 11.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
12. 12.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
13. 13.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
14. 14.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
15. 15.A wall is 8 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
16. 16.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
17. 17.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
18. 18.The perimeter of a rectangle is 66 cm and its length is 22 cm. What is its width (in cm)?
19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
21. 21.The perimeter of a rectangle is 102 cm and its length is 26 cm. What is its width (in cm)?
22. 22.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
23. 23.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
24. 24.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
25. 25.From a rectangle 6 cm long and 5 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)?
26. 26.A wall is 7 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.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 ₹)?
28. 28.A square has a perimeter of 20 cm. What is its area (in square cm)?
29. 29.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
30. 30.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
31. 31.A wall is 11 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
32. 32.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
33. 33.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
34. 34.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
35. 35.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
36. 36.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
37. 37.A rectangular field is 95 m long and 45 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
38. 38.A square has a perimeter of 8 cm. What is its area (in square cm)?
39. 39.The perimeter of a rectangle is 62 cm and its length is 19 cm. What is its width (in cm)?
40. 40.From a rectangle 18 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)?

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