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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 436 · 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 square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 24 cm (d) 54 cm
  3. 3.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 12 cm (b) 32 cm (c) 20 cm (d) 24 cm
  4. 4.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 6 cm (c) 68 cm (d) 5 cm
  5. 5.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 42 sq cm (c) 104 sq cm (d) 21 sq cm
  6. 6.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 24 cm (c) 13 cm (d) 165 cm
  7. 7.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 192 cm (b) 44 cm (c) 28 cm (d) 56 cm
  8. 8.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 11 cm (d) 22 cm
  9. 9.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 sq cm
  10. 10.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 40 cm (d) 168 cm
  11. 11.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 34 cm (c) 17 cm (d) 72 cm
  12. 12.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 20 cm (c) 99 cm (d) 10 cm
  13. 13.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 27 cm (c) 152 cm (d) 54 cm
  14. 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 4 cm (d) 8 cm
  15. 15.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 18 cm (c) 3 cm (d) 4 cm
  16. 16.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 196 sq cm (d) 169 sq cm
  17. 17.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 56 cm (c) 5 cm (d) 10 cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 11 sq cm (d) 22 sq cm
  19. 19.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 27 cm (b) 42 cm (c) 180 cm (d) 54 cm
  20. 20.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
  21. 21.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 11 cm (c) 117 cm (d) 10 cm
  22. 22.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 68 cm (c) 21 cm (d) 42 cm
  23. 23.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 40 cm (d) 102 cm
  24. 24.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 14 sq cm (d) 45 sq cm
  25. 25.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 54 sq cm (c) 36 sq cm (d) 40 sq cm
  26. 26.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 28 sq cm (c) 56 sq cm (d) 160 sq cm
  27. 27.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 132 sq cm (c) 44 sq cm (d) 120 sq cm
  28. 28.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
  29. 29.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 8 cm (b) 140 cm (c) 16 cm (d) 9 cm
  30. 30.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 20 cm (d) 18 cm
  31. 31.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 39 sq cm (c) 26 sq cm (d) 30 sq cm
  32. 32.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 28 cm (c) 22 cm (d) 18 cm
  33. 33.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  34. 34.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 32 sq cm (c) 52 sq cm (d) 16 sq cm
  35. 35.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 20 cm (d) 2 cm
  36. 36.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 100 sq cm (d) 20 sq cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 27 cm
  38. 38.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 39 cm (c) 25 cm (d) 154 cm
  39. 39.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 52 cm (c) 34 cm (d) 17 cm
  40. 40.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 18 sq cm (c) 11 sq cm (d) 27 sq cm

Answer key

  1. 25 sq cm
  2. 30 cm
  3. 24 cm
  4. 5 cm
  5. 104 sq cm
  6. 12 cm
  7. 56 cm
  8. 22 cm
  9. 140 sq cm
  10. 52 cm
  11. 34 cm
  12. 10 cm
  13. 54 cm
  14. 4 cm
  15. 2 cm
  16. 169 sq cm
  17. 5 cm
  18. 24 sq cm
  19. 54 cm
  20. 96 sq cm
  21. 10 cm
  22. 42 cm
  23. 46 cm
  24. 45 sq cm
  25. 36 sq cm
  26. 160 sq cm
  27. 120 sq cm
  28. 121 sq cm
  29. 8 cm
  30. 22 cm
  31. 26 sq cm
  32. 22 cm
  33. 225 sq cm
  34. 39 sq cm
  35. 2 cm
  36. 100 sq cm
  37. 4 cm
  38. 50 cm
  39. 34 cm
  40. 18 sq cm

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