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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 883 · 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 20 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 2 cm (c) 4 cm (d) 3 cm
  2. 2.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 22 sq cm (d) 90 sq cm
  3. 3.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 228 cm (c) 31 cm (d) 50 cm
  4. 4.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 56 cm (c) 32 cm (d) 18 cm
  5. 5.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  6. 6.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  8. 8.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 84 sq cm (c) 72 sq cm (d) 18 sq cm
  9. 9.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  10. 10.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 62 cm (d) 220 cm
  11. 11.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 30 cm
  12. 12.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  13. 13.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 72 sq cm (d) 63 sq cm
  14. 14.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
  15. 15.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 25 sq cm (b) 168 sq cm (c) 50 sq cm (d) 154 sq cm
  16. 16.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 32 cm (c) 36 cm (d) 18 cm
  17. 17.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 13 cm (d) 26 cm
  18. 18.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 20 sq cm (b) 96 sq cm (c) 108 sq cm (d) 40 sq cm
  19. 19.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
  20. 20.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 40 sq cm (d) 91 sq cm
  21. 21.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 32 cm (b) 16 cm (c) 55 cm (d) 27 cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 14 cm (d) 28 cm
  23. 23.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 66 cm (b) 28 cm (c) 17 cm (d) 34 cm
  24. 24.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 19 sq cm (d) 24 sq cm
  25. 25.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 56 cm (b) 5 cm (c) 10 cm (d) 6 cm
  26. 26.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  27. 27.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 150 sq cm (b) 48 sq cm (c) 24 sq cm (d) 135 sq cm
  28. 28.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  29. 29.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 120 cm
  30. 30.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 8 cm (c) 16 cm (d) 9 cm
  31. 31.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 52 sq cm (c) 160 sq cm (d) 26 sq cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  33. 33.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 209 sq cm (b) 228 sq cm (c) 60 sq cm (d) 30 sq cm
  34. 34.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 4 cm (c) 8 cm (d) 5 cm
  35. 35.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 120 sq cm (d) 52 sq cm
  36. 36.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 19 sq cm (c) 38 sq cm (d) 51 sq cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 28 sq cm (c) 22 sq cm (d) 35 sq cm
  38. 38.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 48 cm (d) 24 cm
  39. 39.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 22 cm (c) 44 cm (d) 57 cm
  40. 40.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 39 cm (c) 112 cm (d) 46 cm

Answer key

  1. 2 cm
  2. 72 sq cm
  3. 62 cm
  4. 36 cm
  5. 22 cm
  6. 12 cm
  7. 40 sq cm
  8. 72 sq cm
  9. 225 sq cm
  10. 62 cm
  11. 3 cm
  12. 100 sq cm
  13. 63 sq cm
  14. 144 sq cm
  15. 154 sq cm
  16. 36 cm
  17. 26 cm
  18. 96 sq cm
  19. 36 sq cm
  20. 91 sq cm
  21. 32 cm
  22. 28 cm
  23. 34 cm
  24. 18 sq cm
  25. 5 cm
  26. 14 sq cm
  27. 135 sq cm
  28. 49 sq cm
  29. 11 cm
  30. 8 cm
  31. 160 sq cm
  32. 81 sq cm
  33. 209 sq cm
  34. 4 cm
  35. 120 sq cm
  36. 34 sq cm
  37. 28 sq cm
  38. 48 cm
  39. 44 cm
  40. 46 cm

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