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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 654 · 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 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  2. 2.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 20 sq cm (b) 98 sq cm (c) 40 sq cm (d) 84 sq cm
  3. 3.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 152 sq cm (c) 133 sq cm (d) 26 sq cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
  5. 5.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 11 cm (c) 190 cm (d) 22 cm
  6. 6.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 38 cm (d) 156 cm
  7. 7.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  9. 9.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 40 cm (c) 26 cm (d) 21 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 10 sq cm (d) 36 sq cm
  11. 11.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 32 sq cm (b) 260 sq cm (c) 240 sq cm (d) 64 sq cm
  12. 12.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 10 cm (c) 17 cm (d) 20 cm
  13. 13.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 24 cm (c) 54 cm (d) 15 cm
  14. 14.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 39 cm (c) 54 cm (d) 42 cm
  15. 15.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 75 cm (c) 20 cm (d) 35 cm
  16. 16.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 36 sq cm (d) 48 sq cm
  17. 17.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  18. 18.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 29 sq cm (b) 204 sq cm (c) 221 sq cm (d) 58 sq cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 196 sq cm (d) 26 sq cm
  20. 20.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 44 cm
  21. 21.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  22. 22.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 96 sq cm (c) 108 sq cm (d) 20 sq cm
  23. 23.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 22 sq cm (d) 11 sq cm
  24. 24.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 14 cm (d) 7 cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 30 sq cm (d) 36 sq cm
  26. 26.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 14 cm (c) 8 cm (d) 7 cm
  27. 27.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 21 sq cm (d) 42 sq cm
  28. 28.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 28 cm (c) 14 cm (d) 48 cm
  29. 29.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 60 cm (b) 30 cm (c) 209 cm (d) 49 cm
  30. 30.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  31. 31.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 40 sq cm (c) 20 sq cm (d) 54 sq cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 22 cm (c) 17 cm (d) 11 cm
  33. 33.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 8 cm (d) 5 cm
  34. 34.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 27 cm (c) 12 cm (d) 24 cm
  35. 35.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 16 sq cm (d) 60 sq cm
  36. 36.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 144 sq cm (d) 50 sq cm
  37. 37.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 48 sq cm (c) 19 sq cm (d) 64 sq cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  39. 39.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 72 sq cm (c) 16 sq cm (d) 63 sq cm
  40. 40.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 37 cm (b) 48 cm (c) 24 cm (d) 143 cm

Answer key

  1. 144 sq cm
  2. 84 sq cm
  3. 133 sq cm
  4. 18 cm
  5. 11 cm
  6. 50 cm
  7. 80 sq cm
  8. 225 sq cm
  9. 26 cm
  10. 25 sq cm
  11. 240 sq cm
  12. 20 cm
  13. 30 cm
  14. 42 cm
  15. 40 cm
  16. 36 sq cm
  17. 16 cm
  18. 204 sq cm
  19. 169 sq cm
  20. 5 cm
  21. 81 sq cm
  22. 96 sq cm
  23. 24 sq cm
  24. 7 cm
  25. 30 sq cm
  26. 7 cm
  27. 104 sq cm
  28. 28 cm
  29. 60 cm
  30. 64 sq cm
  31. 36 sq cm
  32. 22 cm
  33. 4 cm
  34. 24 cm
  35. 48 sq cm
  36. 144 sq cm
  37. 48 sq cm
  38. 24 sq cm
  39. 63 sq cm
  40. 48 cm

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