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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 781 · 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 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 60 sq cm (d) 256 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  3. 3.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 22 sq cm (c) 11 sq cm (d) 32 sq cm
  4. 4.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 42 cm (c) 33 cm (d) 21 cm
  5. 5.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 43 cm (b) 153 cm (c) 26 cm (d) 52 cm
  6. 6.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  7. 7.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 60 sq cm (c) 220 sq cm (d) 30 sq cm
  8. 8.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 96 cm (c) 10 cm (d) 18 cm
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  12. 12.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 34 sq cm (c) 80 sq cm (d) 17 sq cm
  13. 13.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 39 sq cm (d) 52 sq cm
  14. 14.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  15. 15.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 22 cm (c) 4 cm (d) 3 cm
  16. 16.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 24 cm (c) 3 cm (d) 6 cm
  17. 17.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  18. 18.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 18 cm (b) 3 cm (c) 4 cm (d) 6 cm
  19. 19.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 72 cm (b) 10 cm (c) 5 cm (d) 6 cm
  20. 20.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 144 sq cm (c) 50 sq cm (d) 25 sq cm
  21. 21.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 11 cm (b) 12 cm (c) 180 cm (d) 22 cm
  22. 22.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 31 cm (b) 19 cm (c) 84 cm (d) 38 cm
  23. 23.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
  24. 24.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 80 cm (c) 5 cm (d) 10 cm
  25. 25.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 48 cm (c) 28 cm (d) 32 cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 11 sq cm (c) 35 sq cm (d) 22 sq cm
  27. 27.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 144 cm (b) 11 cm (c) 10 cm (d) 20 cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 10 sq cm (d) 21 sq cm
  29. 29.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 88 cm
  30. 30.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 70 sq cm (d) 60 sq cm
  31. 31.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 24 cm (c) 48 cm (d) 43 cm
  32. 32.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 160 cm (c) 22 cm (d) 11 cm
  33. 33.A rectangle is 17 cm long and 12 cm wide. What is its perimeter? (a) 204 cm (b) 58 cm (c) 46 cm (d) 29 cm
  34. 34.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 29 cm (b) 48 cm (c) 190 cm (d) 58 cm
  35. 35.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
  36. 36.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 22 cm (d) 44 cm
  37. 37.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 25 sq cm (d) 136 sq cm
  38. 38.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 126 sq cm (d) 140 sq cm
  39. 39.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 38 sq cm (d) 60 sq cm
  40. 40.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 42 sq cm (d) 26 sq cm

Answer key

  1. 225 sq cm
  2. 100 sq cm
  3. 24 sq cm
  4. 42 cm
  5. 52 cm
  6. 25 sq cm
  7. 200 sq cm
  8. 9 cm
  9. 30 sq cm
  10. 144 sq cm
  11. 49 sq cm
  12. 70 sq cm
  13. 39 sq cm
  14. 28 cm
  15. 3 cm
  16. 3 cm
  17. 169 sq cm
  18. 3 cm
  19. 5 cm
  20. 144 sq cm
  21. 11 cm
  22. 38 cm
  23. 35 sq cm
  24. 5 cm
  25. 32 cm
  26. 28 sq cm
  27. 10 cm
  28. 21 sq cm
  29. 9 cm
  30. 60 sq cm
  31. 48 cm
  32. 11 cm
  33. 58 cm
  34. 58 cm
  35. 42 cm
  36. 44 cm
  37. 136 sq cm
  38. 126 sq cm
  39. 60 sq cm
  40. 42 sq cm

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