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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 219 · 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 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 187 sq cm (d) 204 sq cm
  2. 2.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 20 cm (b) 42 cm (c) 13 cm (d) 26 cm
  3. 3.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 25 sq cm (d) 126 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  5. 5.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 15 cm (c) 9 cm (d) 19 cm
  6. 6.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 4 cm (c) 42 cm (d) 5 cm
  7. 7.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 18 cm (b) 120 cm (c) 9 cm (d) 10 cm
  8. 8.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 112 cm (b) 9 cm (c) 8 cm (d) 16 cm
  9. 9.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 6 cm (d) 4 cm
  10. 10.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  11. 11.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 96 cm
  12. 12.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 200 cm
  13. 13.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 4 cm (b) 33 cm (c) 8 cm (d) 5 cm
  14. 14.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 9 sq cm (c) 24 sq cm (d) 18 sq cm
  15. 15.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) 9 cm (d) 16 cm
  16. 16.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 5 cm (b) 8 cm (c) 24 cm (d) 4 cm
  17. 17.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 95 sq cm (d) 76 sq cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 42 cm (d) 17 cm
  19. 19.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 54 cm (c) 180 cm (d) 27 cm
  20. 20.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 38 sq cm (b) 78 sq cm (c) 91 sq cm (d) 19 sq cm
  21. 21.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  22. 22.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 40 sq cm (c) 26 sq cm (d) 13 sq cm
  23. 23.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  24. 24.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 30 sq cm (d) 20 sq cm
  25. 25.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 2 cm (b) 8 cm (c) 3 cm (d) 4 cm
  26. 26.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 117 cm (b) 35 cm (c) 22 cm (d) 44 cm
  27. 27.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 41 cm (c) 26 cm (d) 52 cm
  28. 28.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  32. 32.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 55 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 rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 10 cm (c) 153 cm (d) 20 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 10 cm (c) 20 cm (d) 18 cm
  36. 36.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  37. 37.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
  38. 38.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 32 cm (d) 96 cm
  39. 39.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 36 cm (d) 27 cm
  40. 40.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 44 cm (d) 26 cm

Answer key

  1. 187 sq cm
  2. 26 cm
  3. 126 sq cm
  4. 121 sq cm
  5. 18 cm
  6. 4 cm
  7. 9 cm
  8. 8 cm
  9. 3 cm
  10. 144 sq cm
  11. 7 cm
  12. 11 cm
  13. 4 cm
  14. 18 sq cm
  15. 8 cm
  16. 4 cm
  17. 76 sq cm
  18. 34 cm
  19. 54 cm
  20. 78 sq cm
  21. 25 sq cm
  22. 30 sq cm
  23. 196 sq cm
  24. 20 sq cm
  25. 2 cm
  26. 44 cm
  27. 52 cm
  28. 48 sq cm
  29. 28 sq cm
  30. 36 sq cm
  31. 81 sq cm
  32. 6 cm
  33. 49 sq cm
  34. 10 cm
  35. 20 cm
  36. 169 sq cm
  37. 42 cm
  38. 40 cm
  39. 30 cm
  40. 52 cm

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