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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 925 · 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 15 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 38 cm (c) 19 cm (d) 60 cm
  2. 2.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 54 cm (b) 152 cm (c) 46 cm (d) 27 cm
  3. 3.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 40 cm (c) 44 cm (d) 42 cm
  4. 4.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  5. 5.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 18 cm (d) 32 cm
  6. 6.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 38 cm (c) 50 cm (d) 156 cm
  7. 7.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  8. 8.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 51 sq cm (b) 20 sq cm (c) 68 sq cm (d) 40 sq cm
  9. 9.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 18 cm (c) 112 cm (d) 10 cm
  10. 10.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 105 cm
  11. 11.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 20 cm (b) 4 cm (c) 3 cm (d) 2 cm
  12. 12.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 16 sq cm (d) 52 sq cm
  13. 13.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 8 cm (c) 7 cm (d) 14 cm
  14. 14.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 119 cm
  15. 15.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 6 cm (c) 80 cm (d) 10 cm
  16. 16.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 39 cm (c) 21 cm (d) 54 cm
  17. 17.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 39 cm
  18. 18.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 140 sq cm (d) 126 sq cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  20. 20.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 4 cm (c) 3 cm (d) 6 cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  22. 22.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 8 cm (c) 7 cm (d) 14 cm
  23. 23.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 46 cm (d) 204 cm
  24. 24.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 19 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 13 sq cm (d) 26 sq cm
  26. 26.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  27. 27.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 27 sq cm (b) 170 sq cm (c) 187 sq cm (d) 54 sq cm
  28. 28.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 28 sq cm (d) 225 sq cm
  30. 30.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 30 sq cm (d) 45 sq cm
  31. 31.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 20 cm (c) 18 cm (d) 11 cm
  32. 32.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 10 cm (c) 64 cm (d) 5 cm
  33. 33.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 54 cm
  34. 34.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 11 sq cm (d) 22 sq cm
  35. 35.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 50 cm (c) 15 cm (d) 25 cm
  36. 36.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 37 cm (d) 143 cm
  37. 37.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 9 cm (c) 128 cm (d) 10 cm
  38. 38.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 23 cm (c) 30 cm (d) 56 cm
  39. 39.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 171 cm
  40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm

Answer key

  1. 38 cm
  2. 54 cm
  3. 44 cm
  4. 169 sq cm
  5. 36 cm
  6. 50 cm
  7. 225 sq cm
  8. 51 sq cm
  9. 9 cm
  10. 8 cm
  11. 2 cm
  12. 39 sq cm
  13. 7 cm
  14. 8 cm
  15. 5 cm
  16. 42 cm
  17. 4 cm
  18. 126 sq cm
  19. 121 sq cm
  20. 3 cm
  21. 25 sq cm
  22. 7 cm
  23. 58 cm
  24. 24 cm
  25. 36 sq cm
  26. 81 sq cm
  27. 170 sq cm
  28. 72 sq cm
  29. 196 sq cm
  30. 30 sq cm
  31. 22 cm
  32. 5 cm
  33. 4 cm
  34. 18 sq cm
  35. 30 cm
  36. 48 cm
  37. 9 cm
  38. 30 cm
  39. 10 cm
  40. 12 sq cm

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