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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 58 · 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 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 9 cm (d) 10 cm
  2. 2.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 8 cm (b) 6 cm (c) 3 cm (d) 4 cm
  3. 3.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 108 cm
  4. 4.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  5. 5.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 12 cm (d) 35 cm
  6. 6.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  7. 7.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 13 cm (b) 21 cm (c) 26 cm (d) 40 cm
  8. 8.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 16 cm (c) 14 cm (d) 18 cm
  9. 9.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 16 cm (c) 32 cm (d) 48 cm
  10. 10.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 24 sq cm (d) 42 sq cm
  11. 11.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 209 cm (b) 60 cm (c) 30 cm (d) 49 cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  14. 14.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
  15. 15.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 24 cm (c) 48 cm (d) 40 cm
  16. 16.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 72 cm
  17. 17.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 88 cm (d) 19 cm
  18. 18.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 18 cm (d) 32 cm
  19. 19.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 144 sq cm (d) 121 sq cm
  20. 20.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 36 cm (c) 6 cm (d) 10 cm
  21. 21.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  22. 22.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 24 cm (b) 119 cm (c) 48 cm (d) 41 cm
  23. 23.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 80 cm (b) 6 cm (c) 12 cm (d) 7 cm
  24. 24.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 44 sq cm (c) 30 sq cm (d) 15 sq cm
  25. 25.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 15 cm (c) 25 cm (d) 30 cm
  26. 26.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 14 sq cm (d) 28 sq cm
  27. 27.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 24 cm (c) 5 cm (d) 4 cm
  28. 28.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 198 cm (c) 24 cm (d) 13 cm
  29. 29.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 14 cm (c) 8 cm (d) 7 cm
  30. 30.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 165 sq cm (c) 150 sq cm (d) 25 sq cm
  31. 31.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 126 sq cm (b) 24 sq cm (c) 48 sq cm (d) 108 sq cm
  32. 32.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 48 sq cm (c) 154 sq cm (d) 24 sq cm
  33. 33.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 216 sq cm (d) 234 sq cm
  34. 34.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 3 cm (c) 6 cm (d) 4 cm
  35. 35.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  36. 36.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 14 cm (c) 28 cm (d) 33 cm
  37. 37.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
  38. 38.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  39. 39.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 52 sq cm (c) 26 sq cm (d) 196 sq cm
  40. 40.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 100 sq cm (d) 90 sq cm

Answer key

  1. 9 cm
  2. 3 cm
  3. 10 cm
  4. 24 sq cm
  5. 24 cm
  6. 18 sq cm
  7. 26 cm
  8. 18 cm
  9. 32 cm
  10. 35 sq cm
  11. 60 cm
  12. 144 sq cm
  13. 196 sq cm
  14. 26 cm
  15. 48 cm
  16. 5 cm
  17. 38 cm
  18. 36 cm
  19. 121 sq cm
  20. 5 cm
  21. 32 cm
  22. 48 cm
  23. 6 cm
  24. 44 sq cm
  25. 30 cm
  26. 45 sq cm
  27. 4 cm
  28. 12 cm
  29. 7 cm
  30. 150 sq cm
  31. 108 sq cm
  32. 140 sq cm
  33. 216 sq cm
  34. 3 cm
  35. 64 sq cm
  36. 28 cm
  37. 72 sq cm
  38. 25 sq cm
  39. 169 sq cm
  40. 90 sq cm

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