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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 847 · 40 questions
TalentJR

How to solve it (Round or inside?): Rectangle: perimeter = 2 × (length + width); area = length × width. Square: perimeter = 4 × side; area = side × side. From the perimeter, side = perimeter ÷ 4. Missing side: width = area ÷ length.

NameDateTime takenScore ___ / 40
  1. 1.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 220 sq cm (c) 200 sq cm (d) 30 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  3. 3.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 40 sq cm (c) 20 sq cm (d) 51 sq cm
  4. 4.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 20 cm (c) 22 cm (d) 18 cm
  5. 5.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 170 cm (c) 27 cm (d) 44 cm
  6. 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
  7. 7.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 75 sq cm (c) 20 sq cm (d) 40 sq cm
  8. 8.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 39 cm (c) 46 cm (d) 112 cm
  9. 9.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 32 cm (d) 34 cm
  10. 10.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 48 cm (d) 38 cm
  11. 11.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 24 sq cm (d) 40 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 16 sq cm (d) 12 sq cm
  13. 13.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 8 cm (c) 98 cm (d) 16 cm
  14. 14.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  15. 15.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 52 sq cm (d) 26 sq cm
  16. 16.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 18 sq cm (b) 78 sq cm (c) 36 sq cm (d) 65 sq cm
  17. 17.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  18. 18.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
  19. 19.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 20 cm (c) 2 cm (d) 4 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  21. 21.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 15 cm (d) 19 cm
  22. 22.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 40 cm (d) 96 cm
  23. 23.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 32 sq cm (d) 11 sq cm
  25. 25.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 12 cm (c) 3 cm (d) 6 cm
  26. 26.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 18 sq cm (d) 19 sq cm
  27. 27.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm
  28. 28.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 60 cm (c) 16 cm (d) 26 cm
  29. 29.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 72 cm (c) 10 cm (d) 5 cm
  30. 30.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 30 sq cm (c) 64 sq cm (d) 15 sq cm
  31. 31.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 25 sq cm (b) 156 sq cm (c) 50 sq cm (d) 169 sq cm
  32. 32.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 48 cm (c) 29 cm (d) 58 cm
  33. 33.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 99 sq cm (d) 40 sq cm
  34. 34.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 160 sq cm (d) 180 sq cm
  35. 35.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  36. 36.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 44 sq cm (c) 14 sq cm (d) 28 sq cm
  37. 37.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 119 cm (b) 41 cm (c) 48 cm (d) 24 cm
  38. 38.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 170 cm (b) 11 cm (c) 12 cm (d) 22 cm
  39. 39.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 135 sq cm (d) 150 sq cm
  40. 40.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm

Answer key

  1. 200 sq cm
  2. 36 sq cm
  3. 51 sq cm
  4. 22 cm
  5. 54 cm
  6. 6 cm
  7. 75 sq cm
  8. 46 cm
  9. 34 cm
  10. 38 cm
  11. 32 sq cm
  12. 12 sq cm
  13. 8 cm
  14. 121 sq cm
  15. 169 sq cm
  16. 65 sq cm
  17. 22 cm
  18. 12 cm
  19. 2 cm
  20. 225 sq cm
  21. 18 cm
  22. 40 cm
  23. 49 sq cm
  24. 24 sq cm
  25. 3 cm
  26. 18 sq cm
  27. 70 sq cm
  28. 32 cm
  29. 5 cm
  30. 56 sq cm
  31. 156 sq cm
  32. 58 cm
  33. 99 sq cm
  34. 160 sq cm
  35. 81 sq cm
  36. 33 sq cm
  37. 48 cm
  38. 11 cm
  39. 135 sq cm
  40. 50 cm

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