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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 624 · 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 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 48 cm
  2. 2.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 22 cm (c) 35 cm (d) 44 cm
  3. 3.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 128 cm
  4. 4.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 25 cm (c) 43 cm (d) 50 cm
  5. 5.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 18 sq cm (d) 36 sq cm
  6. 6.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) 9 cm (d) 10 cm
  7. 7.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 24 cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 12 cm (c) 16 cm (d) 8 cm
  9. 9.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 70 cm (d) 27 cm
  10. 10.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
  11. 11.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 35 cm (c) 21 cm (d) 98 cm
  12. 12.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 16 cm (d) 32 cm
  13. 13.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  14. 14.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 1 cm (c) 3 cm (d) 2 cm
  15. 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 140 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  17. 17.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 38 cm (d) 19 cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  19. 19.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 50 cm (d) 25 cm
  20. 20.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 27 cm (b) 44 cm (c) 54 cm (d) 170 cm
  21. 21.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 228 cm (d) 62 cm
  22. 22.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 95 cm (c) 24 cm (d) 43 cm
  23. 23.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 40 cm (d) 42 cm
  24. 24.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  25. 25.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 24 sq cm (c) 136 sq cm (d) 48 sq cm
  26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 10 cm (d) 9 cm
  27. 27.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 12 cm (c) 143 cm (d) 24 cm
  28. 28.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 57 sq cm (b) 38 sq cm (c) 21 sq cm (d) 42 sq cm
  29. 29.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 76 sq cm (b) 44 sq cm (c) 57 sq cm (d) 22 sq cm
  30. 30.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 55 cm (d) 27 cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 40 sq cm (d) 20 sq cm
  32. 32.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 18 cm (b) 29 cm (c) 77 cm (d) 36 cm
  33. 33.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  34. 34.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
  35. 35.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 6 cm (c) 45 cm (d) 12 cm
  36. 36.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 22 cm (c) 6 cm (d) 4 cm
  37. 37.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 49 sq cm (d) 12 sq cm
  38. 38.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 187 sq cm (b) 204 sq cm (c) 28 sq cm (d) 56 sq cm
  39. 39.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  40. 40.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm

Answer key

  1. 7 cm
  2. 44 cm
  3. 9 cm
  4. 50 cm
  5. 32 sq cm
  6. 9 cm
  7. 5 cm
  8. 16 cm
  9. 34 cm
  10. 25 sq cm
  11. 42 cm
  12. 32 cm
  13. 64 sq cm
  14. 2 cm
  15. 11 cm
  16. 225 sq cm
  17. 38 cm
  18. 12 sq cm
  19. 50 cm
  20. 54 cm
  21. 62 cm
  22. 48 cm
  23. 44 cm
  24. 24 sq cm
  25. 119 sq cm
  26. 9 cm
  27. 12 cm
  28. 38 sq cm
  29. 57 sq cm
  30. 32 cm
  31. 91 sq cm
  32. 36 cm
  33. 24 cm
  34. 100 sq cm
  35. 6 cm
  36. 3 cm
  37. 36 sq cm
  38. 187 sq cm
  39. 21 sq cm
  40. 10 cm

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