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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 921 · 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 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 52 cm (d) 160 cm
  2. 2.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 4 cm (c) 15 cm (d) 3 cm
  3. 3.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 80 cm
  4. 4.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 56 sq cm (c) 64 sq cm (d) 15 sq cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  8. 8.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 60 cm (c) 43 cm (d) 23 cm
  9. 9.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 10 cm
  10. 10.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 56 cm (b) 28 cm (c) 47 cm (d) 171 cm
  11. 11.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 28 cm (c) 22 cm (d) 11 cm
  12. 12.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 171 sq cm (c) 190 sq cm (d) 28 sq cm
  13. 13.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 27 sq cm (c) 24 sq cm (d) 36 sq cm
  16. 16.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 8 cm (b) 9 cm (c) 84 cm (d) 16 cm
  17. 17.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 33 cm (d) 45 cm
  18. 18.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  19. 19.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 221 sq cm (d) 29 sq cm
  20. 20.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 45 cm (d) 133 cm
  21. 21.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
  22. 22.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 35 cm (c) 132 cm (d) 46 cm
  23. 23.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 13 sq cm (d) 26 sq cm
  24. 24.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 80 sq cm (c) 46 sq cm (d) 60 sq cm
  25. 25.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 30 cm (d) 17 cm
  26. 26.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 26 cm (c) 24 cm (d) 28 cm
  27. 27.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  28. 28.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 171 cm (b) 20 cm (c) 10 cm (d) 11 cm
  29. 29.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  30. 30.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 32 cm (c) 18 cm (d) 56 cm
  31. 31.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
  32. 32.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  33. 33.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 70 cm (d) 33 cm
  34. 34.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 119 cm (d) 24 cm
  35. 35.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 19 cm (c) 30 cm (d) 38 cm
  36. 36.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 8 cm (d) 5 cm
  37. 37.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 24 cm (b) 5 cm (c) 6 cm (d) 10 cm
  38. 38.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 8 cm (d) 16 cm
  39. 39.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  40. 40.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

Answer key

  1. 52 cm
  2. 2 cm
  3. 6 cm
  4. 56 sq cm
  5. 49 sq cm
  6. 169 sq cm
  7. 121 sq cm
  8. 46 cm
  9. 2 cm
  10. 56 cm
  11. 22 cm
  12. 171 sq cm
  13. 81 sq cm
  14. 144 sq cm
  15. 27 sq cm
  16. 8 cm
  17. 36 cm
  18. 196 sq cm
  19. 204 sq cm
  20. 52 cm
  21. 34 cm
  22. 46 cm
  23. 42 sq cm
  24. 60 sq cm
  25. 22 cm
  26. 28 cm
  27. 104 sq cm
  28. 10 cm
  29. 2 cm
  30. 36 cm
  31. 30 cm
  32. 225 sq cm
  33. 38 cm
  34. 48 cm
  35. 38 cm
  36. 4 cm
  37. 5 cm
  38. 8 cm
  39. 25 sq cm
  40. 24 sq cm

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