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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 189 · 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) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  2. 2.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
  3. 3.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 204 sq cm (b) 58 sq cm (c) 29 sq cm (d) 221 sq cm
  4. 4.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 70 cm
  5. 5.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  6. 6.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 6 cm (d) 10 cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 13 sq cm (b) 40 sq cm (c) 26 sq cm (d) 48 sq cm
  8. 8.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 18 cm
  9. 9.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 48 sq cm (c) 24 sq cm (d) 119 sq cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  11. 11.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 31 cm (c) 62 cm (d) 228 cm
  12. 12.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 80 sq cm (d) 60 sq cm
  13. 13.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 27 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  14. 14.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 156 sq cm (d) 143 sq cm
  15. 15.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 18 cm (c) 4 cm (d) 2 cm
  16. 16.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 29 cm (d) 38 cm
  17. 17.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 42 sq cm (c) 80 sq cm (d) 21 sq cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 32 cm (c) 60 cm (d) 16 cm
  20. 20.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 60 sq cm (d) 45 sq cm
  21. 21.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 24 cm (c) 12 cm (d) 13 cm
  22. 22.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 80 sq cm (b) 34 sq cm (c) 70 sq cm (d) 17 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 24 sq cm (c) 10 sq cm (d) 20 sq cm
  24. 24.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 102 sq cm (c) 44 sq cm (d) 22 sq cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 6 cm (c) 64 cm (d) 5 cm
  26. 26.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 133 cm (c) 16 cm (d) 8 cm
  27. 27.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 22 cm (c) 44 cm (d) 105 cm
  28. 28.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 40 sq cm (c) 108 sq cm (d) 20 sq cm
  29. 29.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 126 sq cm (c) 140 sq cm (d) 23 sq cm
  30. 30.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 22 cm (c) 13 cm (d) 26 cm
  31. 31.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 196 sq cm (c) 26 sq cm (d) 52 sq cm
  32. 32.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 162 sq cm (b) 26 sq cm (c) 52 sq cm (d) 144 sq cm
  33. 33.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 24 cm (c) 28 cm (d) 26 cm
  34. 34.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 140 cm (d) 9 cm
  35. 35.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 40 cm (c) 5 cm (d) 10 cm
  36. 36.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 36 sq cm (c) 22 sq cm (d) 11 sq cm
  38. 38.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 80 cm
  39. 39.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 50 sq cm (c) 25 sq cm (d) 144 sq cm
  40. 40.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 33 cm (b) 21 cm (c) 108 cm (d) 42 cm

Answer key

  1. 7 cm
  2. 11 cm
  3. 204 sq cm
  4. 8 cm
  5. 196 sq cm
  6. 3 cm
  7. 40 sq cm
  8. 20 cm
  9. 119 sq cm
  10. 81 sq cm
  11. 62 cm
  12. 60 sq cm
  13. 27 sq cm
  14. 143 sq cm
  15. 2 cm
  16. 38 cm
  17. 80 sq cm
  18. 12 sq cm
  19. 32 cm
  20. 45 sq cm
  21. 12 cm
  22. 70 sq cm
  23. 24 sq cm
  24. 85 sq cm
  25. 5 cm
  26. 8 cm
  27. 44 cm
  28. 96 sq cm
  29. 126 sq cm
  30. 26 cm
  31. 169 sq cm
  32. 144 sq cm
  33. 28 cm
  34. 8 cm
  35. 5 cm
  36. 5 cm
  37. 30 sq cm
  38. 5 cm
  39. 144 sq cm
  40. 42 cm

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