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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 62 · 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 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 96 sq cm (c) 44 sq cm (d) 112 sq cm
  2. 2.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 20 cm (c) 10 cm (d) 17 cm
  3. 3.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm
  4. 4.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 48 sq cm (d) 36 sq cm
  5. 5.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 52 cm (b) 168 cm (c) 40 cm (d) 26 cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 20 sq cm (d) 100 sq cm
  7. 7.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 98 sq cm (b) 20 sq cm (c) 40 sq cm (d) 84 sq cm
  8. 8.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 34 sq cm (c) 17 sq cm (d) 56 sq cm
  9. 9.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 22 cm (d) 19 cm
  10. 10.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 8 cm (c) 9 cm (d) 119 cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  12. 12.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 6 cm (c) 4 cm (d) 28 cm
  13. 13.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 5 cm (d) 4 cm
  14. 14.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 46 cm (d) 36 cm
  15. 15.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 60 sq cm (b) 44 sq cm (c) 40 sq cm (d) 22 sq cm
  16. 16.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 27 sq cm (b) 54 sq cm (c) 192 sq cm (d) 176 sq cm
  17. 17.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 18 cm (c) 2 cm (d) 4 cm
  18. 18.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 19 cm (c) 35 cm (d) 24 cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 169 sq cm (d) 196 sq cm
  20. 20.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 40 cm (b) 50 cm (c) 25 cm (d) 150 cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 16 sq cm (d) 32 sq cm
  22. 22.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 18 sq cm (d) 9 sq cm
  23. 23.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 75 cm
  24. 24.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 32 sq cm (c) 40 sq cm (d) 24 sq cm
  25. 25.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 171 cm
  26. 26.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 16 cm (d) 18 cm
  27. 27.A rectangle is 19 cm long and 11 cm wide. What is its perimeter? (a) 30 cm (b) 209 cm (c) 60 cm (d) 49 cm
  28. 28.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 12 cm (d) 24 cm
  29. 29.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 154 cm (c) 50 cm (d) 25 cm
  30. 30.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 114 cm
  31. 31.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  32. 32.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 102 sq cm (c) 23 sq cm (d) 119 sq cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 42 cm (c) 26 cm (d) 20 cm
  34. 34.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 100 sq cm (c) 18 sq cm (d) 81 sq cm
  35. 35.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 48 cm
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 133 sq cm (c) 52 sq cm (d) 26 sq cm
  37. 37.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 63 cm (b) 9 cm (c) 16 cm (d) 8 cm
  38. 38.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  39. 39.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  40. 40.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 9 cm (c) 16 cm (d) 8 cm

Answer key

  1. 96 sq cm
  2. 20 cm
  3. 225 sq cm
  4. 36 sq cm
  5. 52 cm
  6. 100 sq cm
  7. 84 sq cm
  8. 42 sq cm
  9. 22 cm
  10. 8 cm
  11. 36 sq cm
  12. 3 cm
  13. 4 cm
  14. 46 cm
  15. 40 sq cm
  16. 176 sq cm
  17. 2 cm
  18. 24 cm
  19. 169 sq cm
  20. 50 cm
  21. 64 sq cm
  22. 14 sq cm
  23. 6 cm
  24. 32 sq cm
  25. 10 cm
  26. 20 cm
  27. 60 cm
  28. 12 cm
  29. 50 cm
  30. 7 cm
  31. 22 cm
  32. 102 sq cm
  33. 26 cm
  34. 81 sq cm
  35. 7 cm
  36. 133 sq cm
  37. 8 cm
  38. 144 sq cm
  39. 49 sq cm
  40. 8 cm

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