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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 6 · 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 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 28 cm (d) 14 cm
  2. 2.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 192 cm (c) 56 cm (d) 28 cm
  3. 3.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 9 cm (c) 105 cm (d) 16 cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  5. 5.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 8 cm (d) 9 cm
  6. 6.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 72 cm (d) 17 cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 4 cm (b) 5 cm (c) 36 cm (d) 8 cm
  8. 8.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 154 cm
  9. 9.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 66 sq cm (d) 77 sq cm
  10. 10.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
  11. 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 117 cm (c) 10 cm (d) 20 cm
  12. 12.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 30 sq cm (c) 36 sq cm (d) 15 sq cm
  13. 13.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  14. 14.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 54 cm (c) 27 cm (d) 140 cm
  15. 15.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 136 cm (c) 9 cm (d) 18 cm
  16. 16.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 240 sq cm (d) 260 sq cm
  17. 17.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 11 cm (c) 20 cm (d) 22 cm
  18. 18.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
  19. 19.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  20. 20.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 16 sq cm (d) 24 sq cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 24 cm (c) 12 cm (d) 20 cm
  22. 22.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 48 sq cm (d) 56 sq cm
  23. 23.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 24 sq cm (c) 12 sq cm (d) 32 sq cm
  25. 25.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 30 sq cm (c) 56 sq cm (d) 15 sq cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  27. 27.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 48 cm (c) 5 cm (d) 8 cm
  28. 28.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 143 cm (c) 37 cm (d) 48 cm
  29. 29.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 150 sq cm (d) 165 sq cm
  30. 30.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 50 cm (c) 150 cm (d) 25 cm
  31. 31.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 85 cm
  32. 32.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 47 cm (b) 198 cm (c) 29 cm (d) 58 cm
  33. 33.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 44 cm (d) 15 cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  35. 35.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 19 cm (d) 88 cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 169 sq cm (d) 144 sq cm
  37. 37.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 10 cm (c) 171 cm (d) 20 cm
  38. 38.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 20 cm (c) 24 cm (d) 10 cm
  39. 39.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 54 cm (c) 24 cm (d) 15 cm
  40. 40.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 196 sq cm (d) 28 sq cm

Answer key

  1. 28 cm
  2. 56 cm
  3. 8 cm
  4. 36 sq cm
  5. 8 cm
  6. 34 cm
  7. 4 cm
  8. 12 cm
  9. 66 sq cm
  10. 25 sq cm
  11. 10 cm
  12. 36 sq cm
  13. 24 cm
  14. 54 cm
  15. 9 cm
  16. 240 sq cm
  17. 22 cm
  18. 169 sq cm
  19. 225 sq cm
  20. 16 sq cm
  21. 24 cm
  22. 48 sq cm
  23. 26 cm
  24. 32 sq cm
  25. 56 sq cm
  26. 49 sq cm
  27. 4 cm
  28. 48 cm
  29. 150 sq cm
  30. 50 cm
  31. 6 cm
  32. 58 cm
  33. 30 cm
  34. 121 sq cm
  35. 38 cm
  36. 144 sq cm
  37. 10 cm
  38. 20 cm
  39. 30 cm
  40. 196 sq cm

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