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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 157 · 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 has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 84 cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 15 cm (d) 54 cm
  3. 3.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  4. 4.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 57 cm (d) 41 cm
  5. 5.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 77 sq cm (c) 88 sq cm (d) 18 sq cm
  6. 6.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 8 cm (b) 4 cm (c) 15 cm (d) 5 cm
  7. 7.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 64 sq cm (d) 14 sq cm
  9. 9.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 85 cm (b) 22 cm (c) 39 cm (d) 44 cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  11. 11.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 44 cm (c) 22 cm (d) 37 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  13. 13.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm
  14. 14.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 48 cm (c) 7 cm (d) 14 cm
  15. 15.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 36 cm
  16. 16.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 20 cm (d) 21 cm
  17. 17.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 4 cm (d) 3 cm
  18. 18.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 26 cm (d) 13 cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 22 cm (c) 48 cm (d) 28 cm
  20. 20.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 50 sq cm (d) 40 sq cm
  21. 21.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 36 cm (d) 33 cm
  22. 22.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 22 sq cm (d) 35 sq cm
  23. 23.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 119 cm (d) 24 cm
  24. 24.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 26 cm (c) 52 cm (d) 44 cm
  25. 25.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 19 cm (c) 34 cm (d) 38 cm
  26. 26.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 28 cm (d) 14 cm
  27. 27.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 33 cm (d) 28 cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 11 sq cm (c) 22 sq cm (d) 18 sq cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm
  30. 30.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 240 sq cm (c) 220 sq cm (d) 62 sq cm
  31. 31.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 20 cm (d) 11 cm
  32. 32.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 38 cm (c) 25 cm (d) 50 cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  34. 34.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 8 cm (c) 14 cm (d) 7 cm
  35. 35.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 18 sq cm (d) 9 sq cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 110 sq cm (c) 21 sq cm (d) 121 sq cm
  37. 37.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 13 cm (c) 198 cm (d) 24 cm
  38. 38.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 75 sq cm (d) 60 sq cm
  39. 39.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 96 cm
  40. 40.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 156 sq cm (b) 143 sq cm (c) 24 sq cm (d) 48 sq cm

Answer key

  1. 7 cm
  2. 30 cm
  3. 64 sq cm
  4. 44 cm
  5. 77 sq cm
  6. 4 cm
  7. 190 sq cm
  8. 49 sq cm
  9. 44 cm
  10. 225 sq cm
  11. 44 cm
  12. 36 sq cm
  13. 24 sq cm
  14. 7 cm
  15. 26 cm
  16. 20 cm
  17. 3 cm
  18. 26 cm
  19. 28 cm
  20. 40 sq cm
  21. 36 cm
  22. 28 sq cm
  23. 48 cm
  24. 52 cm
  25. 38 cm
  26. 28 cm
  27. 28 cm
  28. 18 sq cm
  29. 169 sq cm
  30. 220 sq cm
  31. 10 cm
  32. 50 cm
  33. 25 sq cm
  34. 7 cm
  35. 18 sq cm
  36. 110 sq cm
  37. 12 cm
  38. 60 sq cm
  39. 9 cm
  40. 143 sq cm

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