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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 834 · 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 60 sq cm and a length of 15 cm. What is its width? (a) 8 cm (b) 45 cm (c) 5 cm (d) 4 cm
  2. 2.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
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 121 sq cm (d) 22 sq cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 225 sq cm (d) 30 sq cm
  5. 5.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 68 cm (b) 21 cm (c) 42 cm (d) 38 cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  7. 7.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 9 cm (c) 16 cm (d) 8 cm
  8. 8.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  9. 9.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 132 cm (d) 35 cm
  10. 10.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
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  12. 12.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  13. 13.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 32 cm (b) 38 cm (c) 19 cm (d) 78 cm
  14. 14.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
  15. 15.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 18 sq cm (c) 16 sq cm (d) 12 sq cm
  16. 16.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 18 cm (c) 136 cm (d) 10 cm
  17. 17.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 54 cm (c) 176 cm (d) 27 cm
  18. 18.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 45 sq cm (d) 26 sq cm
  19. 19.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 34 cm
  20. 20.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 28 cm (c) 66 cm (d) 34 cm
  21. 21.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 8 cm (c) 5 cm (d) 4 cm
  22. 22.A rectangle has an area of 32 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 4 cm (c) 2 cm (d) 3 cm
  23. 23.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 40 cm (c) 13 cm (d) 26 cm
  24. 24.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 26 cm (b) 3 cm (c) 4 cm (d) 6 cm
  25. 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 12 cm (d) 13 cm
  26. 26.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 25 cm (c) 30 cm (d) 50 cm
  27. 27.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 28 cm (c) 6 cm (d) 4 cm
  28. 28.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 170 sq cm (c) 52 sq cm (d) 153 sq cm
  29. 29.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 8 cm (b) 108 cm (c) 7 cm (d) 14 cm
  30. 30.A rectangle is 15 cm long and 8 cm wide. What is its perimeter? (a) 38 cm (b) 23 cm (c) 46 cm (d) 120 cm
  31. 31.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
  32. 32.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 42 cm (c) 34 cm (d) 17 cm
  33. 33.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 56 sq cm (d) 171 sq cm
  34. 34.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 24 cm (c) 12 cm (d) 13 cm
  35. 35.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 20 cm (c) 22 cm (d) 24 cm
  36. 36.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 34 cm (d) 60 cm
  37. 37.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 50 cm (c) 154 cm (d) 25 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  39. 39.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 12 cm (d) 24 cm
  40. 40.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 3 cm (d) 4 cm

Answer key

  1. 4 cm
  2. 2 cm
  3. 121 sq cm
  4. 225 sq cm
  5. 42 cm
  6. 36 sq cm
  7. 8 cm
  8. 81 sq cm
  9. 46 cm
  10. 196 sq cm
  11. 49 sq cm
  12. 25 sq cm
  13. 38 cm
  14. 169 sq cm
  15. 12 sq cm
  16. 9 cm
  17. 54 cm
  18. 36 sq cm
  19. 3 cm
  20. 34 cm
  21. 4 cm
  22. 2 cm
  23. 26 cm
  24. 3 cm
  25. 12 cm
  26. 30 cm
  27. 3 cm
  28. 153 sq cm
  29. 7 cm
  30. 46 cm
  31. 144 sq cm
  32. 34 cm
  33. 171 sq cm
  34. 12 cm
  35. 24 cm
  36. 34 cm
  37. 50 cm
  38. 64 sq cm
  39. 24 cm
  40. 3 cm

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