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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 383 · 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 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 42 sq cm (c) 21 sq cm (d) 120 sq cm
  2. 2.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  3. 3.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
  4. 4.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 25 cm (c) 39 cm (d) 50 cm
  5. 5.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 27 sq cm (d) 18 sq cm
  6. 6.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 22 sq cm (d) 90 sq cm
  7. 7.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 102 cm (c) 46 cm (d) 40 cm
  8. 8.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 57 sq cm (c) 38 sq cm (d) 42 sq cm
  9. 9.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 6 cm (c) 8 cm (d) 4 cm
  10. 10.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 32 cm
  11. 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 54 sq cm (d) 30 sq cm
  12. 12.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 80 cm
  13. 13.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 10 cm (c) 60 cm (d) 6 cm
  14. 14.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 12 sq cm (d) 36 sq cm
  15. 15.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 38 cm (c) 19 cm (d) 33 cm
  16. 16.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 88 cm (b) 38 cm (c) 19 cm (d) 30 cm
  17. 17.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 190 cm
  18. 18.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 15 sq cm (c) 30 sq cm (d) 50 sq cm
  19. 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 24 cm (c) 143 cm (d) 13 cm
  20. 20.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 12 cm (d) 24 cm
  21. 21.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  22. 22.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
  23. 23.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 95 cm (c) 12 cm (d) 6 cm
  24. 24.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 38 cm (c) 19 cm (d) 29 cm
  25. 25.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its width? (a) 5 cm (b) 10 cm (c) 64 cm (d) 6 cm
  26. 26.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 9 cm (b) 16 cm (c) 8 cm (d) 98 cm
  27. 27.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 54 cm (c) 42 cm (d) 39 cm
  28. 28.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 25 sq cm (d) 10 sq cm
  30. 30.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 88 cm
  31. 31.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 18 cm
  32. 32.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 22 sq cm (c) 40 sq cm (d) 44 sq cm
  33. 33.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
  34. 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 8 cm (c) 42 cm (d) 4 cm
  35. 35.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 80 cm (c) 48 cm (d) 44 cm
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 11 cm (c) 99 cm (d) 20 cm
  37. 37.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 18 cm
  38. 38.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 22 cm (b) 48 cm (c) 28 cm (d) 14 cm
  39. 39.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 62 cm (c) 228 cm (d) 31 cm
  40. 40.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 20 cm (c) 2 cm (d) 4 cm

Answer key

  1. 108 sq cm
  2. 169 sq cm
  3. 11 cm
  4. 50 cm
  5. 18 sq cm
  6. 72 sq cm
  7. 46 cm
  8. 38 sq cm
  9. 3 cm
  10. 24 cm
  11. 54 sq cm
  12. 5 cm
  13. 5 cm
  14. 36 sq cm
  15. 38 cm
  16. 38 cm
  17. 11 cm
  18. 50 sq cm
  19. 12 cm
  20. 24 cm
  21. 70 sq cm
  22. 49 sq cm
  23. 6 cm
  24. 38 cm
  25. 5 cm
  26. 8 cm
  27. 42 cm
  28. 81 sq cm
  29. 25 sq cm
  30. 9 cm
  31. 4 cm
  32. 40 sq cm
  33. 18 cm
  34. 4 cm
  35. 48 cm
  36. 10 cm
  37. 3 cm
  38. 28 cm
  39. 62 cm
  40. 2 cm

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