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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 507 · 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 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
  2. 2.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  3. 3.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 171 sq cm (c) 28 sq cm (d) 190 sq cm
  4. 4.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 90 sq cm (b) 72 sq cm (c) 44 sq cm (d) 22 sq cm
  5. 5.A rectangle is 15 cm long and 10 cm wide. What is its area? (a) 50 sq cm (b) 150 sq cm (c) 165 sq cm (d) 25 sq cm
  6. 6.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 2 cm (d) 3 cm
  7. 7.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 9 cm (d) 10 cm
  8. 8.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 66 sq cm (d) 77 sq cm
  9. 9.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 102 sq cm (c) 23 sq cm (d) 46 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 225 sq cm (d) 60 sq cm
  11. 11.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  12. 12.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 26 sq cm (d) 39 sq cm
  13. 13.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 38 sq cm (b) 51 sq cm (c) 34 sq cm (d) 19 sq cm
  14. 14.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 6 cm (c) 68 cm (d) 10 cm
  15. 15.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 170 cm
  16. 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 12 cm (d) 11 cm
  17. 17.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 26 cm (c) 46 cm (d) 52 cm
  18. 18.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  19. 19.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  20. 20.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 28 sq cm (d) 21 sq cm
  21. 21.A square has a perimeter of 32 cm. What is its area? (a) 64 sq cm (b) 32 sq cm (c) 81 sq cm (d) 16 sq cm
  22. 22.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 43 cm (b) 60 cm (c) 46 cm (d) 23 cm
  23. 23.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 9 cm (c) 10 cm (d) 18 cm
  24. 24.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 180 cm (b) 46 cm (c) 56 cm (d) 28 cm
  25. 25.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 36 sq cm (c) 18 sq cm (d) 48 sq cm
  26. 26.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 80 cm (b) 37 cm (c) 21 cm (d) 42 cm
  27. 27.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 48 cm
  28. 28.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 21 sq cm (c) 105 sq cm (d) 42 sq cm
  29. 29.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 70 cm (c) 8 cm (d) 16 cm
  30. 30.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  31. 31.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 34 cm (d) 70 cm
  32. 32.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 21 cm (b) 68 cm (c) 42 cm (d) 38 cm
  33. 33.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  34. 34.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 50 sq cm (b) 153 sq cm (c) 25 sq cm (d) 136 sq cm
  35. 35.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 10 cm (d) 9 cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 225 sq cm (d) 196 sq cm
  37. 37.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 50 cm (c) 39 cm (d) 25 cm
  38. 38.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 64 sq cm (c) 80 sq cm (d) 40 sq cm
  39. 39.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  40. 40.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm

Answer key

  1. 117 sq cm
  2. 25 sq cm
  3. 171 sq cm
  4. 72 sq cm
  5. 150 sq cm
  6. 2 cm
  7. 9 cm
  8. 66 sq cm
  9. 102 sq cm
  10. 225 sq cm
  11. 49 sq cm
  12. 26 sq cm
  13. 34 sq cm
  14. 5 cm
  15. 11 cm
  16. 11 cm
  17. 52 cm
  18. 160 sq cm
  19. 100 sq cm
  20. 21 sq cm
  21. 64 sq cm
  22. 46 cm
  23. 9 cm
  24. 56 cm
  25. 32 sq cm
  26. 42 cm
  27. 4 cm
  28. 90 sq cm
  29. 8 cm
  30. 144 sq cm
  31. 34 cm
  32. 42 cm
  33. 169 sq cm
  34. 136 sq cm
  35. 9 cm
  36. 196 sq cm
  37. 50 cm
  38. 64 sq cm
  39. 96 sq cm
  40. 36 sq cm

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