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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 122 · 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 square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 26 sq cm (d) 196 sq cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 48 sq cm (b) 32 sq cm (c) 18 sq cm (d) 36 sq cm
  3. 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  4. 4.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 84 cm (c) 8 cm (d) 7 cm
  5. 5.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 36 cm (c) 19 cm (d) 38 cm
  6. 6.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 54 sq cm (c) 28 sq cm (d) 14 sq cm
  7. 7.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  8. 8.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  9. 9.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  10. 10.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 35 cm (b) 48 cm (c) 38 cm (d) 19 cm
  11. 11.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 99 sq cm (c) 19 sq cm (d) 88 sq cm
  12. 12.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 21 cm (d) 13 cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 144 sq cm (c) 169 sq cm (d) 24 sq cm
  14. 14.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 209 cm
  15. 15.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 28 sq cm (b) 187 sq cm (c) 56 sq cm (d) 204 sq cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 72 sq cm (c) 63 sq cm (d) 32 sq cm
  17. 17.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 13 cm (c) 24 cm (d) 187 cm
  18. 18.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 18 cm (c) 36 cm (d) 65 cm
  19. 19.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 78 sq cm (c) 18 sq cm (d) 65 sq cm
  20. 20.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
  21. 21.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 39 cm (d) 54 cm
  22. 22.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 57 sq cm (c) 44 sq cm (d) 76 sq cm
  23. 23.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 220 cm (c) 12 cm (d) 24 cm
  24. 24.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 18 cm (b) 80 cm (c) 36 cm (d) 28 cm
  25. 25.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 24 cm (d) 12 cm
  26. 26.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  27. 27.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 27 cm (c) 15 cm (d) 30 cm
  28. 28.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
  29. 29.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 66 cm (b) 14 cm (c) 8 cm (d) 7 cm
  30. 30.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 7 cm (c) 14 cm (d) 8 cm
  31. 31.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 99 sq cm (c) 110 sq cm (d) 20 sq cm
  32. 32.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 26 cm (c) 20 cm (d) 13 cm
  33. 33.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 38 cm (d) 21 cm
  34. 34.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
  35. 35.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 144 sq cm (c) 22 sq cm (d) 121 sq cm
  36. 36.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 26 sq cm (b) 152 sq cm (c) 52 sq cm (d) 133 sq cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 15 sq cm (b) 50 sq cm (c) 60 sq cm (d) 30 sq cm
  38. 38.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 11 sq cm (c) 22 sq cm (d) 24 sq cm
  39. 39.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 8 cm (c) 54 cm (d) 4 cm
  40. 40.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 4 cm (c) 15 cm (d) 8 cm

Answer key

  1. 169 sq cm
  2. 32 sq cm
  3. 20 cm
  4. 7 cm
  5. 38 cm
  6. 45 sq cm
  7. 36 sq cm
  8. 225 sq cm
  9. 100 sq cm
  10. 38 cm
  11. 88 sq cm
  12. 26 cm
  13. 144 sq cm
  14. 12 cm
  15. 187 sq cm
  16. 63 sq cm
  17. 12 cm
  18. 36 cm
  19. 65 sq cm
  20. 49 sq cm
  21. 42 cm
  22. 57 sq cm
  23. 12 cm
  24. 36 cm
  25. 12 cm
  26. 196 sq cm
  27. 30 cm
  28. 12 sq cm
  29. 7 cm
  30. 7 cm
  31. 99 sq cm
  32. 26 cm
  33. 42 cm
  34. 104 sq cm
  35. 121 sq cm
  36. 133 sq cm
  37. 50 sq cm
  38. 24 sq cm
  39. 4 cm
  40. 4 cm

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