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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 26 · 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 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 220 cm (d) 13 cm
  2. 2.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 42 cm (d) 36 cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 22 sq cm (d) 44 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  5. 5.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 38 sq cm (d) 51 sq cm
  6. 6.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 12 cm (c) 60 cm (d) 7 cm
  7. 7.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 24 cm (c) 13 cm (d) 12 cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 225 sq cm (c) 30 sq cm (d) 256 sq cm
  9. 9.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 84 sq cm (b) 72 sq cm (c) 18 sq cm (d) 36 sq cm
  10. 10.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 48 cm (b) 135 cm (c) 24 cm (d) 39 cm
  11. 11.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 95 cm (c) 43 cm (d) 48 cm
  12. 12.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 30 cm (c) 50 cm (d) 15 cm
  13. 13.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 126 sq cm (c) 46 sq cm (d) 23 sq cm
  14. 14.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 10 cm (c) 117 cm (d) 11 cm
  15. 15.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 120 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 128 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 112 cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  19. 19.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  22. 22.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 32 cm (d) 16 cm
  23. 23.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 156 sq cm (c) 48 sq cm (d) 143 sq cm
  24. 24.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 24 cm (d) 13 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  26. 26.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 39 cm (c) 4 cm (d) 5 cm
  27. 27.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 14 cm (c) 28 cm (d) 24 cm
  28. 28.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
  29. 29.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 13 sq cm (c) 26 sq cm (d) 45 sq cm
  30. 30.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 28 cm (d) 14 cm
  31. 31.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 100 cm (c) 25 cm (d) 45 cm
  32. 32.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 18 cm (c) 96 cm (d) 9 cm
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  34. 34.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm
  35. 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 35 cm (d) 19 cm
  36. 36.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 120 sq cm (d) 108 sq cm
  37. 37.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 10 sq cm
  38. 38.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 51 cm (c) 5 cm (d) 4 cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  40. 40.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 30 cm (c) 88 cm (d) 19 cm

Answer key

  1. 12 cm
  2. 42 cm
  3. 121 sq cm
  4. 80 sq cm
  5. 34 sq cm
  6. 6 cm
  7. 12 cm
  8. 225 sq cm
  9. 72 sq cm
  10. 48 cm
  11. 48 cm
  12. 30 cm
  13. 126 sq cm
  14. 10 cm
  15. 11 cm
  16. 169 sq cm
  17. 8 cm
  18. 100 sq cm
  19. 60 sq cm
  20. 64 sq cm
  21. 25 sq cm
  22. 32 cm
  23. 143 sq cm
  24. 26 cm
  25. 36 sq cm
  26. 4 cm
  27. 28 cm
  28. 57 sq cm
  29. 36 sq cm
  30. 28 cm
  31. 50 cm
  32. 9 cm
  33. 144 sq cm
  34. 152 sq cm
  35. 24 cm
  36. 108 sq cm
  37. 24 sq cm
  38. 4 cm
  39. 32 sq cm
  40. 38 cm

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