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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 444 · 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 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  2. 2.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  4. 4.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 35 cm (c) 117 cm (d) 22 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 36 sq cm (c) 10 sq cm (d) 20 sq cm
  6. 6.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 75 sq cm (d) 60 sq cm
  7. 7.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm
  8. 8.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
  9. 9.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 200 sq cm (c) 29 sq cm (d) 58 sq cm
  10. 10.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 28 sq cm (c) 36 sq cm (d) 14 sq cm
  11. 11.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 70 sq cm (d) 60 sq cm
  12. 12.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
  13. 13.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 32 cm (b) 63 cm (c) 25 cm (d) 16 cm
  14. 14.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 26 sq cm (d) 52 sq cm
  15. 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 12 sq cm (c) 18 sq cm (d) 8 sq cm
  16. 16.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 57 cm (d) 41 cm
  17. 17.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  18. 18.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 30 cm (d) 23 cm
  19. 19.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 40 sq cm (d) 20 sq cm
  20. 20.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 21 sq cm (c) 80 sq cm (d) 42 sq cm
  21. 21.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  22. 22.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 16 sq cm
  23. 23.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 104 sq cm (d) 117 sq cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  25. 25.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 33 sq cm (c) 44 sq cm (d) 14 sq cm
  26. 26.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 152 cm (c) 54 cm (d) 27 cm
  27. 27.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  28. 28.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 200 sq cm (d) 220 sq cm
  29. 29.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
  30. 30.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 24 cm
  32. 32.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 13 cm (c) 21 cm (d) 40 cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 26 cm (d) 42 cm
  34. 34.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 200 cm (b) 50 cm (c) 60 cm (d) 30 cm
  35. 35.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 18 sq cm (d) 60 sq cm
  36. 36.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 27 sq cm (d) 24 sq cm
  37. 37.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 24 cm (c) 13 cm (d) 26 cm
  38. 38.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 128 sq cm (b) 23 sq cm (c) 46 sq cm (d) 112 sq cm
  39. 39.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 1 cm (d) 3 cm
  40. 40.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 36 cm (c) 64 cm (d) 40 cm

Answer key

  1. 81 sq cm
  2. 64 sq cm
  3. 225 sq cm
  4. 44 cm
  5. 25 sq cm
  6. 60 sq cm
  7. 3 cm
  8. 24 cm
  9. 180 sq cm
  10. 24 sq cm
  11. 60 sq cm
  12. 12 cm
  13. 32 cm
  14. 160 sq cm
  15. 12 sq cm
  16. 44 cm
  17. 21 sq cm
  18. 30 cm
  19. 99 sq cm
  20. 80 sq cm
  21. 38 sq cm
  22. 16 sq cm
  23. 104 sq cm
  24. 49 sq cm
  25. 33 sq cm
  26. 54 cm
  27. 121 sq cm
  28. 200 sq cm
  29. 10 cm
  30. 35 sq cm
  31. 20 cm
  32. 26 cm
  33. 26 cm
  34. 60 cm
  35. 45 sq cm
  36. 27 sq cm
  37. 26 cm
  38. 112 sq cm
  39. 2 cm
  40. 40 cm

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