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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 76 · 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 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 24 cm (c) 108 cm (d) 48 cm
  2. 2.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 88 sq cm (d) 99 sq cm
  3. 3.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
  4. 4.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  6. 6.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 46 cm (b) 42 cm (c) 23 cm (d) 76 cm
  7. 7.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 38 cm (d) 24 cm
  8. 8.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 70 cm (c) 17 cm (d) 34 cm
  9. 9.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 52 cm (b) 34 cm (c) 30 cm (d) 17 cm
  10. 10.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  11. 11.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 48 sq cm (d) 24 sq cm
  12. 12.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
  13. 13.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 48 sq cm (c) 24 sq cm (d) 114 sq cm
  14. 14.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 171 cm (d) 10 cm
  15. 15.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 24 sq cm (d) 12 sq cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 196 sq cm (c) 56 sq cm (d) 225 sq cm
  18. 18.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 3 cm (b) 32 cm (c) 6 cm (d) 4 cm
  19. 19.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm
  20. 20.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 35 sq cm (c) 42 sq cm (d) 12 sq cm
  22. 22.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 90 sq cm (c) 36 sq cm (d) 18 sq cm
  23. 23.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 64 sq cm (c) 81 sq cm (d) 32 sq cm
  24. 24.A rectangle is 17 cm long and 5 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 39 cm (d) 85 cm
  25. 25.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 14 cm (c) 2 cm (d) 3 cm
  26. 26.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 63 sq cm (c) 16 sq cm (d) 32 sq cm
  27. 27.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 44 cm (d) 72 cm
  28. 28.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 30 sq cm (b) 12 sq cm (c) 20 sq cm (d) 24 sq cm
  29. 29.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
  30. 30.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 130 sq cm (d) 143 sq cm
  31. 31.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 22 sq cm (c) 57 sq cm (d) 44 sq cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 34 sq cm (d) 72 sq cm
  33. 33.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  34. 34.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  35. 35.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 24 cm (c) 6 cm (d) 5 cm
  36. 36.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
  37. 37.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
  38. 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 130 cm
  39. 39.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 70 cm (c) 6 cm (d) 7 cm
  40. 40.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 126 sq cm (c) 22 sq cm (d) 112 sq cm

Answer key

  1. 48 cm
  2. 88 sq cm
  3. 50 cm
  4. 12 cm
  5. 49 sq cm
  6. 46 cm
  7. 48 cm
  8. 34 cm
  9. 34 cm
  10. 169 sq cm
  11. 144 sq cm
  12. 2 cm
  13. 95 sq cm
  14. 10 cm
  15. 32 sq cm
  16. 100 sq cm
  17. 196 sq cm
  18. 3 cm
  19. 9 cm
  20. 121 sq cm
  21. 35 sq cm
  22. 80 sq cm
  23. 64 sq cm
  24. 44 cm
  25. 2 cm
  26. 63 sq cm
  27. 44 cm
  28. 20 sq cm
  29. 10 cm
  30. 130 sq cm
  31. 57 sq cm
  32. 72 sq cm
  33. 9 cm
  34. 36 sq cm
  35. 5 cm
  36. 50 cm
  37. 11 cm
  38. 11 cm
  39. 6 cm
  40. 112 sq cm

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