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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 961 · 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 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  2. 2.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 84 sq cm (d) 70 sq cm
  3. 3.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 54 cm (d) 15 cm
  4. 4.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
  5. 5.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 256 sq cm (d) 60 sq cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 169 sq cm (d) 52 sq cm
  7. 7.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 99 sq cm (b) 110 sq cm (c) 20 sq cm (d) 40 sq cm
  8. 8.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 46 sq cm (d) 128 sq cm
  9. 9.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 48 sq cm (b) 154 sq cm (c) 24 sq cm (d) 140 sq cm
  10. 10.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 22 sq cm (d) 96 sq cm
  11. 11.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 10 cm (c) 40 cm (d) 5 cm
  12. 12.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
  13. 13.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 48 sq cm (c) 14 sq cm (d) 56 sq cm
  14. 14.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 13 sq cm (d) 49 sq cm
  15. 15.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  16. 16.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 9 cm
  17. 17.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 228 sq cm (d) 209 sq cm
  18. 18.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 80 cm (c) 7 cm (d) 6 cm
  19. 19.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 11 sq cm (d) 18 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  21. 21.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
  22. 22.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 21 sq cm (b) 110 sq cm (c) 42 sq cm (d) 121 sq cm
  23. 23.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 200 sq cm (c) 220 sq cm (d) 30 sq cm
  24. 24.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 7 cm (c) 12 cm (d) 6 cm
  25. 25.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 7 cm (b) 96 cm (c) 8 cm (d) 14 cm
  26. 26.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 9 cm (b) 18 cm (c) 10 cm (d) 104 cm
  27. 27.A rectangle is 14 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 32 sq cm (c) 16 sq cm (d) 42 sq cm
  28. 28.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 12 cm (c) 24 cm (d) 13 cm
  29. 29.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 23 cm (b) 37 cm (c) 46 cm (d) 126 cm
  30. 30.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 54 sq cm (d) 21 sq cm
  31. 31.A rectangle is 18 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 108 sq cm (c) 23 sq cm (d) 46 sq cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  35. 35.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 4 cm (c) 1 cm (d) 2 cm
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 99 cm (b) 10 cm (c) 11 cm (d) 20 cm
  37. 37.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 34 sq cm (b) 72 sq cm (c) 81 sq cm (d) 17 sq cm
  38. 38.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 48 cm (c) 44 cm (d) 24 cm
  39. 39.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
  40. 40.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 52 cm (d) 64 cm

Answer key

  1. 36 sq cm
  2. 70 sq cm
  3. 30 cm
  4. 18 cm
  5. 225 sq cm
  6. 169 sq cm
  7. 99 sq cm
  8. 112 sq cm
  9. 140 sq cm
  10. 96 sq cm
  11. 5 cm
  12. 81 sq cm
  13. 48 sq cm
  14. 42 sq cm
  15. 117 sq cm
  16. 2 cm
  17. 209 sq cm
  18. 6 cm
  19. 18 sq cm
  20. 64 sq cm
  21. 6 cm
  22. 110 sq cm
  23. 200 sq cm
  24. 6 cm
  25. 7 cm
  26. 9 cm
  27. 28 sq cm
  28. 12 cm
  29. 46 cm
  30. 54 sq cm
  31. 90 sq cm
  32. 100 sq cm
  33. 25 sq cm
  34. 144 sq cm
  35. 2 cm
  36. 10 cm
  37. 72 sq cm
  38. 48 cm
  39. 12 cm
  40. 64 cm

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