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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 645 · 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 square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  2. 2.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 51 cm (d) 37 cm
  3. 3.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
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  5. 5.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 54 sq cm (c) 15 sq cm (d) 63 sq cm
  6. 6.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 78 cm
  7. 7.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 5 cm (d) 10 cm
  8. 8.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
  9. 9.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  10. 10.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 170 cm
  11. 11.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 48 cm (d) 38 cm
  12. 12.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  13. 13.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
  14. 14.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 16 cm (d) 10 cm
  15. 15.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 200 cm (c) 22 cm (d) 11 cm
  16. 16.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 154 sq cm (d) 168 sq cm
  17. 17.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  18. 18.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
  19. 19.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
  20. 20.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 60 cm (c) 5 cm (d) 4 cm
  21. 21.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 90 sq cm (c) 21 sq cm (d) 42 sq cm
  22. 22.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  23. 23.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  24. 24.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 35 cm (b) 22 cm (c) 117 cm (d) 44 cm
  25. 25.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 11 cm (b) 150 cm (c) 22 cm (d) 12 cm
  26. 26.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  27. 27.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 46 sq cm (d) 23 sq cm
  28. 28.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 23 sq cm (b) 140 sq cm (c) 46 sq cm (d) 126 sq cm
  29. 29.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
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 9 sq cm (d) 18 sq cm
  31. 31.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 18 cm (c) 9 cm (d) 19 cm
  32. 32.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 34 cm (c) 3 cm (d) 4 cm
  33. 33.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 165 sq cm (b) 52 sq cm (c) 180 sq cm (d) 26 sq cm
  34. 34.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 120 cm (d) 46 cm
  35. 35.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  36. 36.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 190 cm (c) 29 cm (d) 48 cm
  37. 37.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 24 sq cm (b) 135 sq cm (c) 150 sq cm (d) 48 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 48 sq cm (b) 28 sq cm (c) 56 sq cm (d) 14 sq cm
  39. 39.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 14 cm (c) 96 cm (d) 8 cm
  40. 40.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 26 sq cm (b) 40 sq cm (c) 13 sq cm (d) 48 sq cm

Answer key

  1. 121 sq cm
  2. 40 cm
  3. 225 sq cm
  4. 36 sq cm
  5. 54 sq cm
  6. 7 cm
  7. 5 cm
  8. 6 cm
  9. 81 sq cm
  10. 11 cm
  11. 38 cm
  12. 196 sq cm
  13. 9 cm
  14. 20 cm
  15. 11 cm
  16. 154 sq cm
  17. 11 cm
  18. 34 cm
  19. 50 cm
  20. 4 cm
  21. 90 sq cm
  22. 64 sq cm
  23. 169 sq cm
  24. 44 cm
  25. 11 cm
  26. 24 cm
  27. 130 sq cm
  28. 126 sq cm
  29. 25 sq cm
  30. 14 sq cm
  31. 18 cm
  32. 3 cm
  33. 165 sq cm
  34. 46 cm
  35. 153 sq cm
  36. 58 cm
  37. 135 sq cm
  38. 48 sq cm
  39. 7 cm
  40. 40 sq cm

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