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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 216 · 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 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 117 sq cm (c) 22 sq cm (d) 44 sq cm
  2. 2.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 48 sq cm (c) 38 sq cm (d) 19 sq cm
  3. 3.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 11 cm (d) 22 cm
  4. 4.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 34 sq cm (c) 19 sq cm (d) 38 sq cm
  5. 5.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 16 cm (b) 105 cm (c) 8 cm (d) 9 cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 169 sq cm (d) 26 sq cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  8. 8.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 72 cm (c) 7 cm (d) 8 cm
  9. 9.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 55 sq cm (b) 30 sq cm (c) 44 sq cm (d) 15 sq cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 144 sq cm (d) 169 sq cm
  11. 11.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  12. 12.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
  13. 13.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 96 sq cm (b) 20 sq cm (c) 108 sq cm (d) 40 sq cm
  14. 14.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 28 cm (d) 30 cm
  16. 16.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 20 sq cm (c) 10 sq cm (d) 25 sq cm
  17. 17.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 40 sq cm (c) 12 sq cm (d) 32 sq cm
  18. 18.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 70 sq cm (c) 17 sq cm (d) 80 sq cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 24 cm (d) 20 cm
  20. 20.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 12 cm (c) 160 cm (d) 11 cm
  21. 21.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 23 cm (c) 26 cm (d) 13 cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  23. 23.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 41 cm (d) 165 cm
  24. 24.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  25. 25.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 120 cm (d) 34 cm
  26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 42 cm (b) 37 cm (c) 21 cm (d) 80 cm
  27. 27.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 23 cm (c) 35 cm (d) 46 cm
  28. 28.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 50 cm (b) 154 cm (c) 39 cm (d) 25 cm
  29. 29.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 60 cm (d) 14 cm
  30. 30.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 48 cm (c) 28 cm (d) 32 cm
  31. 31.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 24 sq cm (c) 22 sq cm (d) 11 sq cm
  33. 33.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  34. 34.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 28 sq cm (d) 225 sq cm
  35. 35.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 4 cm (c) 2 cm (d) 3 cm
  36. 36.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 15 sq cm (d) 60 sq cm
  37. 37.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 95 cm
  38. 38.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 42 cm (c) 21 cm (d) 110 cm
  39. 39.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 27 sq cm (d) 36 sq cm
  40. 40.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 9 cm (c) 18 cm (d) 128 cm

Answer key

  1. 117 sq cm
  2. 48 sq cm
  3. 11 cm
  4. 34 sq cm
  5. 8 cm
  6. 169 sq cm
  7. 36 sq cm
  8. 7 cm
  9. 44 sq cm
  10. 144 sq cm
  11. 100 sq cm
  12. 21 sq cm
  13. 96 sq cm
  14. 64 sq cm
  15. 30 cm
  16. 25 sq cm
  17. 32 sq cm
  18. 70 sq cm
  19. 20 cm
  20. 11 cm
  21. 26 cm
  22. 26 cm
  23. 52 cm
  24. 225 sq cm
  25. 44 cm
  26. 42 cm
  27. 46 cm
  28. 50 cm
  29. 7 cm
  30. 32 cm
  31. 32 cm
  32. 24 sq cm
  33. 49 sq cm
  34. 196 sq cm
  35. 2 cm
  36. 50 sq cm
  37. 6 cm
  38. 42 cm
  39. 27 sq cm
  40. 9 cm

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