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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 649 · 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 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 28 sq cm (d) 10 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  3. 3.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 216 cm (c) 60 cm (d) 48 cm
  4. 4.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  6. 6.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 88 cm (b) 10 cm (c) 9 cm (d) 18 cm
  7. 7.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  8. 8.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 36 cm (c) 40 cm (d) 20 cm
  9. 9.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 78 sq cm (c) 18 sq cm (d) 36 sq cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm
  11. 11.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 13 cm (d) 12 cm
  12. 12.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 128 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  13. 13.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 21 sq cm (c) 105 sq cm (d) 42 sq cm
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 10 sq cm (d) 20 sq cm
  15. 15.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 28 cm (b) 5 cm (c) 6 cm (d) 10 cm
  16. 16.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 10 cm (c) 6 cm (d) 5 cm
  17. 17.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 221 sq cm (c) 29 sq cm (d) 58 sq cm
  18. 18.A rectangle is 14 cm long and 12 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 182 sq cm (d) 168 sq cm
  19. 19.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 40 sq cm (d) 12 sq cm
  20. 20.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 30 sq cm (d) 10 sq cm
  21. 21.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 12 cm (d) 20 cm
  22. 22.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 176 cm (d) 13 cm
  23. 23.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 200 cm (d) 50 cm
  24. 24.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 22 sq cm (d) 105 sq cm
  25. 25.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  26. 26.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  27. 27.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 56 cm (c) 28 cm (d) 46 cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 196 sq cm (d) 225 sq cm
  29. 29.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 21 sq cm (b) 98 sq cm (c) 42 sq cm (d) 112 sq cm
  30. 30.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 13 cm (c) 26 cm (d) 40 cm
  31. 31.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 29 cm (d) 77 cm
  32. 32.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 46 cm (b) 58 cm (c) 29 cm (d) 204 cm
  33. 33.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  34. 34.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 7 cm (c) 90 cm (d) 14 cm
  35. 35.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 4 cm (c) 6 cm (d) 3 cm
  36. 36.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 14 sq cm (d) 24 sq cm
  37. 37.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 3 cm (c) 2 cm (d) 11 cm
  38. 38.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 95 cm (c) 7 cm (d) 6 cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  40. 40.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm

Answer key

  1. 21 sq cm
  2. 36 sq cm
  3. 60 cm
  4. 228 sq cm
  5. 81 sq cm
  6. 9 cm
  7. 144 sq cm
  8. 40 cm
  9. 65 sq cm
  10. 16 sq cm
  11. 12 cm
  12. 128 sq cm
  13. 90 sq cm
  14. 25 sq cm
  15. 5 cm
  16. 5 cm
  17. 204 sq cm
  18. 168 sq cm
  19. 32 sq cm
  20. 24 sq cm
  21. 24 cm
  22. 12 cm
  23. 60 cm
  24. 105 sq cm
  25. 18 cm
  26. 45 sq cm
  27. 56 cm
  28. 196 sq cm
  29. 98 sq cm
  30. 26 cm
  31. 36 cm
  32. 58 cm
  33. 12 cm
  34. 7 cm
  35. 2 cm
  36. 24 sq cm
  37. 2 cm
  38. 6 cm
  39. 169 sq cm
  40. 28 cm

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