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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 625 · 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 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 196 sq cm (d) 52 sq cm
  2. 2.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 17 sq cm (c) 45 sq cm (d) 34 sq cm
  3. 3.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 36 sq cm (d) 90 sq cm
  4. 4.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 63 sq cm (d) 30 sq cm
  5. 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 33 sq cm (c) 44 sq cm (d) 28 sq cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  7. 7.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 13 sq cm (c) 36 sq cm (d) 26 sq cm
  8. 8.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 9 cm (c) 18 cm (d) 19 cm
  9. 9.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 27 sq cm (d) 11 sq cm
  10. 10.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 52 cm (b) 160 cm (c) 26 cm (d) 42 cm
  11. 11.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 136 sq cm (d) 119 sq cm
  12. 12.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 50 cm (d) 31 cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 2 cm
  14. 14.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 14 cm (c) 8 cm (d) 7 cm
  15. 15.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  16. 16.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  17. 17.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 108 sq cm (c) 42 sq cm (d) 120 sq cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 17 sq cm (d) 56 sq cm
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  20. 20.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
  21. 21.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 57 cm
  22. 22.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 30 cm (d) 28 cm
  23. 23.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 6 cm
  24. 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 85 cm (c) 39 cm (d) 44 cm
  25. 25.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 11 cm (c) 10 cm (d) 20 cm
  26. 26.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 48 sq cm (c) 100 sq cm (d) 24 sq cm
  27. 27.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 7 cm (c) 80 cm (d) 12 cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 22 cm (c) 11 cm (d) 18 cm
  29. 29.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 160 sq cm (d) 176 sq cm
  30. 30.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 6 cm (b) 32 cm (c) 3 cm (d) 4 cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 22 sq cm (d) 28 sq cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 56 sq cm (b) 15 sq cm (c) 64 sq cm (d) 30 sq cm
  33. 33.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 42 sq cm (d) 21 sq cm
  34. 34.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  36. 36.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 11 cm (d) 22 cm
  37. 37.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 42 cm
  38. 38.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 13 cm (c) 24 cm (d) 12 cm
  39. 39.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 198 cm (c) 24 cm (d) 13 cm
  40. 40.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 153 cm (d) 20 cm

Answer key

  1. 169 sq cm
  2. 30 sq cm
  3. 80 sq cm
  4. 54 sq cm
  5. 33 sq cm
  6. 36 sq cm
  7. 36 sq cm
  8. 18 cm
  9. 18 sq cm
  10. 52 cm
  11. 119 sq cm
  12. 62 cm
  13. 2 cm
  14. 7 cm
  15. 121 sq cm
  16. 64 sq cm
  17. 108 sq cm
  18. 42 sq cm
  19. 144 sq cm
  20. 2 cm
  21. 4 cm
  22. 32 cm
  23. 3 cm
  24. 44 cm
  25. 10 cm
  26. 80 sq cm
  27. 6 cm
  28. 22 cm
  29. 160 sq cm
  30. 3 cm
  31. 28 sq cm
  32. 56 sq cm
  33. 90 sq cm
  34. 28 cm
  35. 100 sq cm
  36. 22 cm
  37. 44 cm
  38. 12 cm
  39. 12 cm
  40. 10 cm

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