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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 247 · 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 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 19 cm (d) 24 cm
  2. 2.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 56 cm (b) 48 cm (c) 160 cm (d) 28 cm
  3. 3.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 187 cm
  4. 4.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 19 sq cm (c) 70 sq cm (d) 38 sq cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 72 sq cm (d) 32 sq cm
  6. 6.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) 57 cm (d) 8 cm
  7. 7.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  8. 8.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 32 cm (d) 18 cm
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  10. 10.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 27 cm (c) 16 cm (d) 55 cm
  11. 11.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
  12. 12.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 30 cm (b) 60 cm (c) 216 cm (d) 48 cm
  13. 13.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
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
  15. 15.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 20 cm (c) 171 cm (d) 11 cm
  16. 16.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 8 cm (d) 9 cm
  17. 17.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 100 cm (c) 25 cm (d) 50 cm
  18. 18.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 120 sq cm (b) 135 sq cm (c) 23 sq cm (d) 46 sq cm
  19. 19.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 28 cm (c) 48 cm (d) 22 cm
  20. 20.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  21. 21.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 40 sq cm (c) 104 sq cm (d) 20 sq cm
  22. 22.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 156 cm (d) 38 cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  24. 24.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 75 cm (c) 6 cm (d) 7 cm
  25. 25.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  27. 27.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
  28. 28.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 24 cm (d) 27 cm
  29. 29.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  30. 30.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 39 cm (d) 135 cm
  31. 31.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  32. 32.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 40 sq cm (d) 99 sq cm
  33. 33.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 14 cm (c) 16 cm (d) 9 cm
  34. 34.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 56 sq cm (c) 204 sq cm (d) 28 sq cm
  35. 35.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 52 sq cm (d) 133 sq cm
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 24 sq cm (d) 20 sq cm
  37. 37.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
  38. 38.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 16 cm (c) 126 cm (d) 8 cm
  39. 39.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 72 sq cm (c) 18 sq cm (d) 84 sq cm
  40. 40.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 20 cm (c) 40 cm (d) 84 cm

Answer key

  1. 24 cm
  2. 56 cm
  3. 12 cm
  4. 70 sq cm
  5. 63 sq cm
  6. 4 cm
  7. 20 cm
  8. 36 cm
  9. 100 sq cm
  10. 32 cm
  11. 81 sq cm
  12. 60 cm
  13. 8 cm
  14. 22 cm
  15. 10 cm
  16. 8 cm
  17. 50 cm
  18. 120 sq cm
  19. 28 cm
  20. 169 sq cm
  21. 91 sq cm
  22. 50 cm
  23. 64 sq cm
  24. 6 cm
  25. 196 sq cm
  26. 16 sq cm
  27. 152 sq cm
  28. 24 cm
  29. 144 sq cm
  30. 48 cm
  31. 32 cm
  32. 99 sq cm
  33. 18 cm
  34. 187 sq cm
  35. 133 sq cm
  36. 24 sq cm
  37. 6 cm
  38. 8 cm
  39. 72 sq cm
  40. 40 cm

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