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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 94 · 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 has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 12 cm (d) 4 cm
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 28 sq cm (c) 10 sq cm (d) 20 sq cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  6. 6.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 4 cm (c) 24 cm (d) 3 cm
  7. 7.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 48 cm (d) 160 cm
  8. 8.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  9. 9.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 6 cm (c) 4 cm (d) 3 cm
  10. 10.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 15 cm (c) 30 cm (d) 56 cm
  11. 11.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 72 sq cm (c) 44 sq cm (d) 90 sq cm
  12. 12.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 36 sq cm (c) 24 sq cm (d) 28 sq cm
  13. 13.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 63 sq cm (b) 54 sq cm (c) 30 sq cm (d) 15 sq cm
  14. 14.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 216 sq cm (c) 60 sq cm (d) 234 sq cm
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  16. 16.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 160 cm
  17. 17.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  19. 19.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 28 cm (d) 15 cm
  20. 20.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 36 cm (d) 18 cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 26 sq cm (c) 45 sq cm (d) 36 sq cm
  22. 22.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 38 cm (d) 21 cm
  23. 23.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
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 20 sq cm (d) 121 sq cm
  25. 25.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 32 cm (c) 38 cm (d) 19 cm
  26. 26.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
  27. 27.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 18 cm (c) 22 cm (d) 11 cm
  28. 28.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 32 sq cm (c) 64 sq cm (d) 240 sq cm
  29. 29.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 144 cm (d) 41 cm
  30. 30.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 112 sq cm (c) 96 sq cm (d) 44 sq cm
  31. 31.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 2 cm (d) 4 cm
  32. 32.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  33. 33.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 30 sq cm (d) 220 sq cm
  34. 34.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 6 cm (d) 4 cm
  35. 35.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  36. 36.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  37. 37.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 38 sq cm (d) 21 sq cm
  38. 38.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 9 cm (c) 16 cm (d) 98 cm
  39. 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 38 cm
  40. 40.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 26 cm (c) 13 cm (d) 36 cm

Answer key

  1. 3 cm
  2. 25 sq cm
  3. 28 sq cm
  4. 21 sq cm
  5. 81 sq cm
  6. 3 cm
  7. 56 cm
  8. 64 sq cm
  9. 3 cm
  10. 30 cm
  11. 72 sq cm
  12. 24 sq cm
  13. 54 sq cm
  14. 216 sq cm
  15. 144 sq cm
  16. 11 cm
  17. 117 sq cm
  18. 49 sq cm
  19. 30 cm
  20. 36 cm
  21. 36 sq cm
  22. 42 cm
  23. 169 sq cm
  24. 100 sq cm
  25. 38 cm
  26. 121 sq cm
  27. 22 cm
  28. 240 sq cm
  29. 50 cm
  30. 96 sq cm
  31. 2 cm
  32. 12 sq cm
  33. 200 sq cm
  34. 2 cm
  35. 36 sq cm
  36. 30 sq cm
  37. 38 sq cm
  38. 8 cm
  39. 3 cm
  40. 26 cm

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