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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 212 · 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 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 49 sq cm (d) 13 sq cm
  2. 2.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 156 sq cm (b) 25 sq cm (c) 50 sq cm (d) 169 sq cm
  3. 3.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 16 cm (c) 20 cm (d) 10 cm
  4. 4.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 70 cm
  5. 5.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 44 cm (c) 52 cm (d) 144 cm
  6. 6.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm
  7. 7.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 40 cm (c) 10 cm (d) 6 cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  9. 9.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 84 cm
  10. 10.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 136 cm
  11. 11.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 3 cm (c) 6 cm (d) 4 cm
  12. 12.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 19 cm (d) 9 cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  14. 14.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 171 cm (b) 28 cm (c) 56 cm (d) 47 cm
  15. 15.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 100 sq cm (c) 90 sq cm (d) 38 sq cm
  16. 16.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 14 cm (b) 48 cm (c) 7 cm (d) 8 cm
  17. 17.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 96 sq cm (c) 19 sq cm (d) 38 sq cm
  18. 18.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 50 cm (c) 228 cm (d) 62 cm
  19. 19.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 20 sq cm (c) 21 sq cm (d) 10 sq cm
  20. 20.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 52 sq cm (b) 16 sq cm (c) 32 sq cm (d) 39 sq cm
  21. 21.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 21 cm (d) 4 cm
  22. 22.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 28 sq cm (d) 64 sq cm
  23. 23.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 30 sq cm (b) 234 sq cm (c) 60 sq cm (d) 216 sq cm
  24. 24.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 154 cm
  25. 25.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 156 cm (b) 38 cm (c) 25 cm (d) 50 cm
  26. 26.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 117 cm (d) 35 cm
  27. 27.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
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  29. 29.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 63 cm (c) 25 cm (d) 32 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  32. 32.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 95 cm (b) 43 cm (c) 24 cm (d) 48 cm
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 48 sq cm (d) 144 sq cm
  34. 34.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
  35. 35.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 8 cm (d) 14 cm
  36. 36.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 80 cm (d) 36 cm
  37. 37.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 28 cm (d) 25 cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  39. 39.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 140 sq cm (d) 160 sq cm
  40. 40.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm

Answer key

  1. 42 sq cm
  2. 156 sq cm
  3. 20 cm
  4. 6 cm
  5. 52 cm
  6. 48 sq cm
  7. 5 cm
  8. 169 sq cm
  9. 7 cm
  10. 9 cm
  11. 3 cm
  12. 18 cm
  13. 100 sq cm
  14. 56 cm
  15. 90 sq cm
  16. 7 cm
  17. 84 sq cm
  18. 62 cm
  19. 21 sq cm
  20. 39 sq cm
  21. 4 cm
  22. 49 sq cm
  23. 216 sq cm
  24. 12 cm
  25. 50 cm
  26. 44 cm
  27. 60 sq cm
  28. 81 sq cm
  29. 32 cm
  30. 18 sq cm
  31. 16 cm
  32. 48 cm
  33. 144 sq cm
  34. 112 sq cm
  35. 7 cm
  36. 36 cm
  37. 28 cm
  38. 121 sq cm
  39. 140 sq cm
  40. 12 sq cm

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