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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 597 · 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 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 24 cm (d) 20 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 sq cm
  4. 4.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 119 sq cm (d) 136 sq cm
  5. 5.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 17 sq cm (b) 77 sq cm (c) 34 sq cm (d) 66 sq cm
  6. 6.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 176 cm (c) 24 cm (d) 13 cm
  7. 7.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 130 sq cm (d) 23 sq cm
  8. 8.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
  9. 9.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 20 cm (c) 11 cm (d) 10 cm
  10. 10.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 110 sq cm (b) 20 sq cm (c) 99 sq cm (d) 40 sq cm
  11. 11.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  13. 13.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  14. 14.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 60 sq cm (d) 18 sq cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  16. 16.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 44 sq cm (b) 132 sq cm (c) 120 sq cm (d) 22 sq cm
  17. 17.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 42 cm (d) 21 cm
  18. 18.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 3 cm (c) 18 cm (d) 4 cm
  19. 19.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 28 sq cm (b) 160 sq cm (c) 56 sq cm (d) 180 sq cm
  20. 20.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 20 sq cm (d) 84 sq cm
  21. 21.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 28 cm (c) 18 cm (d) 36 cm
  22. 22.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 42 cm (c) 17 cm (d) 31 cm
  23. 23.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 77 cm
  24. 24.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) 9 cm (d) 96 cm
  25. 25.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 56 sq cm (c) 17 sq cm (d) 42 sq cm
  26. 26.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  27. 27.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 12 cm (c) 24 cm (d) 20 cm
  28. 28.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 30 cm (d) 17 cm
  29. 29.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 133 cm (c) 9 cm (d) 8 cm
  30. 30.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 22 sq cm (d) 44 sq cm
  31. 31.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 171 cm (d) 47 cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 48 cm (c) 5 cm (d) 6 cm
  33. 33.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 19 cm (c) 38 cm (d) 90 cm
  34. 34.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 20 sq cm (d) 75 sq cm
  35. 35.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 64 cm (c) 5 cm (d) 6 cm
  36. 36.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 140 cm (b) 24 cm (c) 48 cm (d) 38 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 18 cm (b) 22 cm (c) 28 cm (d) 11 cm
  38. 38.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 42 sq cm (c) 21 sq cm (d) 38 sq cm
  39. 39.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
  40. 40.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 18 sq cm (c) 65 sq cm (d) 36 sq cm

Answer key

  1. 20 cm
  2. 144 sq cm
  3. 121 sq cm
  4. 119 sq cm
  5. 66 sq cm
  6. 12 cm
  7. 130 sq cm
  8. 64 sq cm
  9. 10 cm
  10. 99 sq cm
  11. 26 cm
  12. 36 sq cm
  13. 49 sq cm
  14. 45 sq cm
  15. 100 sq cm
  16. 120 sq cm
  17. 42 cm
  18. 3 cm
  19. 160 sq cm
  20. 84 sq cm
  21. 36 cm
  22. 34 cm
  23. 8 cm
  24. 9 cm
  25. 42 sq cm
  26. 25 sq cm
  27. 24 cm
  28. 22 cm
  29. 8 cm
  30. 96 sq cm
  31. 56 cm
  32. 5 cm
  33. 38 cm
  34. 75 sq cm
  35. 5 cm
  36. 48 cm
  37. 22 cm
  38. 38 sq cm
  39. 48 cm
  40. 65 sq cm

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