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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 955 · 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 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 100 sq cm (d) 81 sq cm
  2. 2.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 13 sq cm (c) 33 sq cm (d) 26 sq cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 20 sq cm (d) 25 sq cm
  4. 4.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  6. 6.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 15 sq cm (d) 50 sq cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  8. 8.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 9 cm (c) 136 cm (d) 18 cm
  9. 9.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 33 cm (c) 18 cm (d) 36 cm
  10. 10.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 60 cm (c) 32 cm (d) 16 cm
  11. 11.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 20 sq cm (d) 12 sq cm
  12. 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 4 cm (c) 5 cm (d) 8 cm
  13. 13.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 58 cm (c) 180 cm (d) 49 cm
  14. 14.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 20 cm (d) 17 cm
  15. 15.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 132 sq cm (b) 44 sq cm (c) 120 sq cm (d) 22 sq cm
  16. 16.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  17. 17.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 8 cm (c) 4 cm (d) 5 cm
  18. 18.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 56 cm (c) 23 cm (d) 30 cm
  19. 19.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 52 sq cm (d) 169 sq cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 21 sq cm (c) 9 sq cm (d) 14 sq cm
  21. 21.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
  22. 22.A rectangle is 12 cm long and 8 cm wide. What is its area? (a) 40 sq cm (b) 108 sq cm (c) 96 sq cm (d) 20 sq cm
  23. 23.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 48 cm (d) 44 cm
  24. 24.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 228 sq cm (c) 209 sq cm (d) 30 sq cm
  25. 25.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
  26. 26.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 11 sq cm (b) 27 sq cm (c) 18 sq cm (d) 22 sq cm
  27. 27.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 14 cm (b) 8 cm (c) 7 cm (d) 96 cm
  28. 28.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  29. 29.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  30. 30.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 20 cm (c) 99 cm (d) 11 cm
  31. 31.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 72 cm (c) 8 cm (d) 7 cm
  32. 32.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 2 cm (c) 14 cm (d) 4 cm
  33. 33.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 20 cm (c) 24 cm (d) 16 cm
  34. 34.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 62 sq cm (c) 31 sq cm (d) 220 sq cm
  35. 35.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 8 sq cm (d) 12 sq cm
  36. 36.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  37. 37.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 54 cm (b) 8 cm (c) 7 cm (d) 14 cm
  38. 38.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 130 cm (c) 11 cm (d) 22 cm
  39. 39.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 100 sq cm (c) 80 sq cm (d) 24 sq cm
  40. 40.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 24 sq cm (d) 9 sq cm

Answer key

  1. 81 sq cm
  2. 22 sq cm
  3. 25 sq cm
  4. 36 sq cm
  5. 49 sq cm
  6. 50 sq cm
  7. 196 sq cm
  8. 9 cm
  9. 36 cm
  10. 32 cm
  11. 20 sq cm
  12. 4 cm
  13. 58 cm
  14. 20 cm
  15. 120 sq cm
  16. 44 sq cm
  17. 4 cm
  18. 30 cm
  19. 169 sq cm
  20. 14 sq cm
  21. 100 sq cm
  22. 96 sq cm
  23. 48 cm
  24. 209 sq cm
  25. 4 cm
  26. 18 sq cm
  27. 7 cm
  28. 18 cm
  29. 144 sq cm
  30. 10 cm
  31. 7 cm
  32. 2 cm
  33. 20 cm
  34. 220 sq cm
  35. 12 sq cm
  36. 64 sq cm
  37. 7 cm
  38. 11 cm
  39. 80 sq cm
  40. 18 sq cm

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