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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 303 · 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 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  2. 2.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 54 sq cm (c) 36 sq cm (d) 20 sq cm
  3. 3.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 135 sq cm (d) 120 sq cm
  4. 4.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 18 cm (d) 22 cm
  5. 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 33 sq cm (d) 44 sq cm
  6. 6.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 12 cm (c) 6 cm (d) 7 cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 25 sq cm (c) 20 sq cm (d) 10 sq cm
  8. 8.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 39 sq cm (b) 52 sq cm (c) 32 sq cm (d) 16 sq cm
  9. 9.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 21 cm (d) 38 cm
  10. 10.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 15 cm (d) 36 cm
  11. 11.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 72 cm (c) 30 cm (d) 36 cm
  12. 12.A rectangle is 11 cm long and 7 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 77 sq cm (d) 88 sq cm
  13. 13.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 40 cm (b) 128 cm (c) 48 cm (d) 24 cm
  14. 14.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 48 sq cm (c) 60 sq cm (d) 16 sq cm
  15. 15.A rectangle is 18 cm long and 12 cm wide. What is its area? (a) 216 sq cm (b) 30 sq cm (c) 60 sq cm (d) 234 sq cm
  16. 16.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 119 sq cm (c) 48 sq cm (d) 24 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 18 sq cm (c) 81 sq cm (d) 36 sq cm
  18. 18.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 7 cm (c) 54 cm (d) 14 cm
  19. 19.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 1 cm
  20. 20.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 56 cm (d) 23 cm
  21. 21.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 14 cm (d) 9 cm
  22. 22.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 21 cm (c) 33 cm (d) 42 cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  24. 24.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 46 sq cm (c) 126 sq cm (d) 23 sq cm
  25. 25.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 2 cm (d) 3 cm
  26. 26.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 25 cm (c) 14 cm (d) 28 cm
  27. 27.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 135 cm (b) 39 cm (c) 48 cm (d) 24 cm
  28. 28.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 2 cm (c) 3 cm (d) 20 cm
  29. 29.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 91 sq cm (d) 38 sq cm
  30. 30.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 240 cm (b) 52 cm (c) 64 cm (d) 32 cm
  31. 31.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 12 cm (c) 6 cm (d) 7 cm
  32. 32.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 24 cm (d) 12 cm
  33. 33.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 36 cm (d) 10 cm
  34. 34.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 22 sq cm (d) 96 sq cm
  35. 35.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 156 cm (d) 38 cm
  36. 36.A rectangle has an area of 60 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 50 cm (c) 12 cm (d) 6 cm
  37. 37.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 170 sq cm (c) 52 sq cm (d) 26 sq cm
  38. 38.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 36 sq cm (d) 26 sq cm
  39. 39.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
  40. 40.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm

Answer key

  1. 90 sq cm
  2. 36 sq cm
  3. 120 sq cm
  4. 22 cm
  5. 33 sq cm
  6. 6 cm
  7. 25 sq cm
  8. 39 sq cm
  9. 42 cm
  10. 30 cm
  11. 36 cm
  12. 77 sq cm
  13. 48 cm
  14. 48 sq cm
  15. 216 sq cm
  16. 119 sq cm
  17. 81 sq cm
  18. 7 cm
  19. 2 cm
  20. 30 cm
  21. 18 cm
  22. 42 cm
  23. 12 sq cm
  24. 126 sq cm
  25. 2 cm
  26. 28 cm
  27. 48 cm
  28. 2 cm
  29. 78 sq cm
  30. 64 cm
  31. 6 cm
  32. 12 cm
  33. 5 cm
  34. 96 sq cm
  35. 50 cm
  36. 6 cm
  37. 153 sq cm
  38. 36 sq cm
  39. 121 sq cm
  40. 225 sq cm

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