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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 137 · 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) 81 sq cm (b) 18 sq cm (c) 100 sq cm (d) 36 sq cm
  2. 2.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 11 sq cm (d) 36 sq cm
  3. 3.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 44 sq cm (b) 72 sq cm (c) 90 sq cm (d) 22 sq cm
  4. 4.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 65 cm (b) 7 cm (c) 12 cm (d) 6 cm
  5. 5.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 126 sq cm (d) 23 sq cm
  6. 6.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 96 sq cm (d) 80 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 63 cm (b) 25 cm (c) 16 cm (d) 32 cm
  8. 8.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 12 cm (c) 176 cm (d) 13 cm
  10. 10.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 17 cm (d) 42 cm
  11. 11.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 28 sq cm (c) 11 sq cm (d) 22 sq cm
  12. 12.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 57 sq cm (c) 21 sq cm (d) 38 sq cm
  13. 13.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 98 cm (c) 16 cm (d) 9 cm
  14. 14.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 100 sq cm (c) 80 sq cm (d) 48 sq cm
  15. 15.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 44 cm (d) 114 cm
  16. 16.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 45 cm (d) 23 cm
  17. 17.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  18. 18.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
  19. 19.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
  20. 20.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 45 sq cm (d) 30 sq cm
  21. 21.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 10 cm (d) 104 cm
  22. 22.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 16 cm (b) 9 cm (c) 8 cm (d) 70 cm
  23. 23.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 72 sq cm (d) 42 sq cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  25. 25.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 33 cm (c) 108 cm (d) 42 cm
  26. 26.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 9 cm (c) 126 cm (d) 8 cm
  27. 27.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 3 cm (d) 4 cm
  28. 28.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 52 sq cm (c) 16 sq cm (d) 39 sq cm
  29. 29.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 23 sq cm (b) 132 sq cm (c) 144 sq cm (d) 46 sq cm
  30. 30.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 140 cm (c) 8 cm (d) 9 cm
  31. 31.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 12 cm (d) 13 cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  33. 33.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) 4 cm (d) 14 cm
  34. 34.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 5 cm (b) 42 cm (c) 4 cm (d) 8 cm
  35. 35.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 27 sq cm (d) 36 sq cm
  36. 36.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 2 cm (b) 13 cm (c) 4 cm (d) 3 cm
  37. 37.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 29 cm (c) 190 cm (d) 48 cm
  38. 38.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 52 sq cm (d) 65 sq cm
  39. 39.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 36 sq cm (c) 26 sq cm (d) 13 sq cm
  40. 40.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 31 cm (b) 220 cm (c) 51 cm (d) 62 cm

Answer key

  1. 81 sq cm
  2. 30 sq cm
  3. 72 sq cm
  4. 6 cm
  5. 126 sq cm
  6. 80 sq cm
  7. 32 cm
  8. 144 sq cm
  9. 12 cm
  10. 34 cm
  11. 28 sq cm
  12. 38 sq cm
  13. 8 cm
  14. 80 sq cm
  15. 50 cm
  16. 28 cm
  17. 196 sq cm
  18. 42 cm
  19. 36 sq cm
  20. 30 sq cm
  21. 9 cm
  22. 8 cm
  23. 54 sq cm
  24. 64 sq cm
  25. 42 cm
  26. 8 cm
  27. 2 cm
  28. 39 sq cm
  29. 132 sq cm
  30. 8 cm
  31. 12 cm
  32. 100 sq cm
  33. 2 cm
  34. 4 cm
  35. 27 sq cm
  36. 2 cm
  37. 58 cm
  38. 52 sq cm
  39. 36 sq cm
  40. 62 cm

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