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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 364 · 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 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 5 cm (c) 4 cm (d) 27 cm
  2. 2.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 4 cm (c) 5 cm (d) 8 cm
  3. 3.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 36 sq cm (c) 100 sq cm (d) 18 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 7 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 28 sq cm (d) 21 sq cm
  7. 7.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 14 sq cm (c) 18 sq cm (d) 9 sq cm
  8. 8.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 48 cm (c) 40 cm (d) 24 cm
  9. 9.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 84 cm (d) 19 cm
  10. 10.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 38 cm (c) 48 cm (d) 35 cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  12. 12.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 42 sq cm (d) 108 sq cm
  13. 13.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
  14. 14.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  15. 15.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 33 sq cm (c) 14 sq cm (d) 28 sq cm
  16. 16.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
  17. 17.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 16 cm (c) 140 cm (d) 8 cm
  18. 18.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 32 sq cm (c) 16 sq cm (d) 72 sq cm
  19. 19.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 100 sq cm (b) 19 sq cm (c) 90 sq cm (d) 38 sq cm
  20. 20.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 49 sq cm (c) 26 sq cm (d) 42 sq cm
  21. 21.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 12 cm (d) 13 cm
  22. 22.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 117 sq cm (c) 130 sq cm (d) 22 sq cm
  23. 23.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 6 cm (d) 3 cm
  24. 24.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm
  26. 26.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 12 cm (c) 22 cm (d) 20 cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  28. 28.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 21 sq cm (c) 42 sq cm (d) 110 sq cm
  29. 29.A rectangle is 16 cm long and 12 cm wide. What is its area? (a) 56 sq cm (b) 192 sq cm (c) 28 sq cm (d) 208 sq cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 40 sq cm (c) 100 sq cm (d) 20 sq cm
  31. 31.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 12 cm (b) 35 cm (c) 24 cm (d) 19 cm
  32. 32.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 16 cm (b) 77 cm (c) 9 cm (d) 8 cm
  33. 33.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 40 cm (c) 22 cm (d) 72 cm
  34. 34.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 32 cm (d) 34 cm
  35. 35.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 22 cm (c) 11 cm (d) 30 cm
  36. 36.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 13 cm (c) 26 cm (d) 22 cm
  37. 37.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
  38. 38.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 6 cm (c) 3 cm (d) 4 cm
  39. 39.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 144 sq cm (d) 22 sq cm
  40. 40.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 153 sq cm (d) 26 sq cm

Answer key

  1. 4 cm
  2. 4 cm
  3. 81 sq cm
  4. 36 sq cm
  5. 2 cm
  6. 21 sq cm
  7. 14 sq cm
  8. 48 cm
  9. 38 cm
  10. 38 cm
  11. 169 sq cm
  12. 108 sq cm
  13. 64 sq cm
  14. 25 sq cm
  15. 33 sq cm
  16. 6 cm
  17. 8 cm
  18. 63 sq cm
  19. 90 sq cm
  20. 42 sq cm
  21. 12 cm
  22. 117 sq cm
  23. 3 cm
  24. 49 sq cm
  25. 48 sq cm
  26. 24 cm
  27. 196 sq cm
  28. 110 sq cm
  29. 192 sq cm
  30. 100 sq cm
  31. 24 cm
  32. 8 cm
  33. 44 cm
  34. 34 cm
  35. 22 cm
  36. 26 cm
  37. 30 cm
  38. 3 cm
  39. 121 sq cm
  40. 153 sq cm

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