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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 45 · 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 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 72 sq cm (d) 63 sq cm
  2. 2.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 50 sq cm (d) 136 sq cm
  3. 3.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
  4. 4.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  6. 6.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  7. 7.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 18 cm (c) 10 cm (d) 9 cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  9. 9.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 38 cm (c) 24 cm (d) 48 cm
  10. 10.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 19 cm (b) 4 cm (c) 2 cm (d) 3 cm
  11. 11.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 16 sq cm (c) 32 sq cm (d) 81 sq cm
  12. 12.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 70 sq cm (b) 38 sq cm (c) 19 sq cm (d) 84 sq cm
  13. 13.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 3 cm (c) 4 cm (d) 6 cm
  14. 14.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 81 sq cm (d) 18 sq cm
  15. 15.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 153 cm (c) 43 cm (d) 52 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  17. 17.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 81 sq cm (c) 72 sq cm (d) 17 sq cm
  18. 18.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  19. 19.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 120 cm (b) 23 cm (c) 46 cm (d) 38 cm
  20. 20.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  21. 21.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 133 sq cm (b) 25 sq cm (c) 114 sq cm (d) 50 sq cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  24. 24.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 42 sq cm (c) 28 sq cm (d) 32 sq cm
  25. 25.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 126 sq cm (c) 140 sq cm (d) 46 sq cm
  26. 26.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 15 cm (b) 8 cm (c) 5 cm (d) 4 cm
  27. 27.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 120 sq cm (b) 108 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 45 cm (c) 14 cm (d) 23 cm
  29. 29.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 135 sq cm (d) 150 sq cm
  30. 30.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 46 sq cm (b) 144 sq cm (c) 132 sq cm (d) 23 sq cm
  31. 31.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 15 sq cm (d) 56 sq cm
  32. 32.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 221 sq cm (d) 204 sq cm
  33. 33.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 50 cm (b) 12 cm (c) 6 cm (d) 7 cm
  34. 34.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 24 sq cm (d) 12 sq cm
  35. 35.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 26 cm (c) 16 cm (d) 60 cm
  36. 36.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 160 cm (b) 22 cm (c) 12 cm (d) 11 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 22 cm (d) 28 cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  39. 39.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  40. 40.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 18 sq cm (b) 70 sq cm (c) 36 sq cm (d) 56 sq cm

Answer key

  1. 63 sq cm
  2. 136 sq cm
  3. 99 sq cm
  4. 240 sq cm
  5. 196 sq cm
  6. 144 sq cm
  7. 9 cm
  8. 24 sq cm
  9. 48 cm
  10. 2 cm
  11. 64 sq cm
  12. 70 sq cm
  13. 3 cm
  14. 81 sq cm
  15. 52 cm
  16. 36 sq cm
  17. 72 sq cm
  18. 225 sq cm
  19. 46 cm
  20. 60 sq cm
  21. 114 sq cm
  22. 100 sq cm
  23. 21 sq cm
  24. 28 sq cm
  25. 126 sq cm
  26. 4 cm
  27. 108 sq cm
  28. 28 cm
  29. 135 sq cm
  30. 132 sq cm
  31. 56 sq cm
  32. 204 sq cm
  33. 6 cm
  34. 20 sq cm
  35. 32 cm
  36. 11 cm
  37. 22 cm
  38. 121 sq cm
  39. 25 sq cm
  40. 56 sq cm

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