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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 897 · 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 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 7 cm (c) 8 cm (d) 78 cm
  2. 2.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 27 cm (d) 15 cm
  3. 3.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 17 sq cm (c) 66 sq cm (d) 34 sq cm
  4. 4.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 190 cm (c) 11 cm (d) 12 cm
  5. 5.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
  6. 6.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 168 sq cm (c) 50 sq cm (d) 25 sq cm
  7. 7.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 144 cm (c) 10 cm (d) 18 cm
  8. 8.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 216 cm (b) 48 cm (c) 30 cm (d) 60 cm
  9. 9.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 11 cm (c) 22 cm (d) 120 cm
  10. 10.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 168 cm (d) 26 cm
  11. 11.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 10 cm (c) 11 cm (d) 99 cm
  12. 12.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 54 sq cm (d) 45 sq cm
  13. 13.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  14. 14.A rectangle is 18 cm long and 11 cm wide. What is its perimeter? (a) 198 cm (b) 58 cm (c) 47 cm (d) 29 cm
  15. 15.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 57 sq cm (d) 38 sq cm
  16. 16.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 96 sq cm (d) 80 sq cm
  17. 17.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 63 cm (c) 32 cm (d) 16 cm
  18. 18.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 75 cm (b) 40 cm (c) 35 cm (d) 20 cm
  19. 19.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 8 cm (c) 14 cm (d) 16 cm
  20. 20.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 20 cm (c) 38 cm (d) 40 cm
  21. 21.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 40 sq cm (d) 30 sq cm
  22. 22.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 121 sq cm (d) 100 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  25. 25.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 119 sq cm (d) 102 sq cm
  26. 26.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 35 cm (d) 12 cm
  27. 27.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  28. 28.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  29. 29.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 27 sq cm
  30. 30.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  31. 31.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 62 cm (b) 31 cm (c) 50 cm (d) 228 cm
  32. 32.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 19 sq cm (c) 9 sq cm (d) 18 sq cm
  33. 33.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 54 cm (c) 27 cm (d) 47 cm
  34. 34.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 60 sq cm (d) 80 sq cm
  35. 35.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 22 sq cm (d) 44 sq cm
  36. 36.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 16 sq cm (c) 72 sq cm (d) 32 sq cm
  37. 37.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 36 sq cm (c) 30 sq cm (d) 22 sq cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 25 sq cm (b) 50 sq cm (c) 114 sq cm (d) 133 sq cm
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 150 sq cm (b) 50 sq cm (c) 165 sq cm (d) 25 sq cm

Answer key

  1. 7 cm
  2. 30 cm
  3. 66 sq cm
  4. 11 cm
  5. 225 sq cm
  6. 154 sq cm
  7. 9 cm
  8. 60 cm
  9. 11 cm
  10. 52 cm
  11. 10 cm
  12. 45 sq cm
  13. 12 sq cm
  14. 58 cm
  15. 38 sq cm
  16. 80 sq cm
  17. 32 cm
  18. 40 cm
  19. 16 cm
  20. 40 cm
  21. 30 sq cm
  22. 100 sq cm
  23. 49 sq cm
  24. 12 cm
  25. 102 sq cm
  26. 6 cm
  27. 144 sq cm
  28. 21 sq cm
  29. 27 sq cm
  30. 25 sq cm
  31. 62 cm
  32. 18 sq cm
  33. 54 cm
  34. 60 sq cm
  35. 40 sq cm
  36. 63 sq cm
  37. 30 sq cm
  38. 48 sq cm
  39. 114 sq cm
  40. 150 sq cm

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