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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 464 · 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 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 16 sq cm (c) 24 sq cm (d) 20 sq cm
  2. 2.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 108 sq cm (c) 96 sq cm (d) 20 sq cm
  3. 3.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 80 sq cm (d) 60 sq cm
  4. 4.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 42 sq cm (c) 110 sq cm (d) 21 sq cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 24 sq cm (d) 169 sq cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  8. 8.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  10. 10.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  11. 11.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 192 sq cm (c) 176 sq cm (d) 27 sq cm
  12. 12.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 36 sq cm (c) 12 sq cm (d) 24 sq cm
  14. 14.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 44 cm (c) 6 cm (d) 5 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  16. 16.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 45 cm (b) 52 cm (c) 133 cm (d) 26 cm
  17. 17.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 63 sq cm (d) 54 sq cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  19. 19.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 27 cm (b) 54 cm (c) 46 cm (d) 152 cm
  20. 20.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 21 cm (c) 42 cm (d) 54 cm
  21. 21.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 190 cm (d) 11 cm
  22. 22.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
  23. 23.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
  24. 24.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 38 sq cm (c) 19 sq cm (d) 51 sq cm
  25. 25.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 10 cm (d) 9 cm
  26. 26.A rectangle is 14 cm long and 6 cm wide. What is its perimeter? (a) 84 cm (b) 40 cm (c) 20 cm (d) 34 cm
  27. 27.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 32 cm (c) 16 cm (d) 28 cm
  28. 28.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 44 cm (c) 72 cm (d) 22 cm
  29. 29.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 50 cm (c) 25 cm (d) 114 cm
  30. 30.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 180 sq cm (d) 165 sq cm
  31. 31.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 46 cm (c) 23 cm (d) 40 cm
  32. 32.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 38 cm (b) 29 cm (c) 19 cm (d) 90 cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 26 cm (d) 20 cm
  34. 34.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 6 cm (d) 7 cm
  35. 35.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 34 cm (c) 32 cm (d) 36 cm
  36. 36.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 44 sq cm (d) 117 sq cm
  37. 37.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 98 cm (c) 35 cm (d) 21 cm
  38. 38.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) 38 cm (d) 4 cm
  39. 39.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 20 cm (c) 10 cm (d) 11 cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 42 sq cm (c) 24 sq cm (d) 35 sq cm

Answer key

  1. 16 sq cm
  2. 96 sq cm
  3. 60 sq cm
  4. 110 sq cm
  5. 144 sq cm
  6. 196 sq cm
  7. 169 sq cm
  8. 12 cm
  9. 36 sq cm
  10. 121 sq cm
  11. 176 sq cm
  12. 72 sq cm
  13. 27 sq cm
  14. 5 cm
  15. 81 sq cm
  16. 52 cm
  17. 54 sq cm
  18. 100 sq cm
  19. 54 cm
  20. 42 cm
  21. 11 cm
  22. 49 sq cm
  23. 9 cm
  24. 34 sq cm
  25. 9 cm
  26. 40 cm
  27. 32 cm
  28. 44 cm
  29. 50 cm
  30. 165 sq cm
  31. 46 cm
  32. 38 cm
  33. 26 cm
  34. 6 cm
  35. 36 cm
  36. 117 sq cm
  37. 42 cm
  38. 3 cm
  39. 10 cm
  40. 35 sq cm

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