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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 912 · 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) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  2. 2.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 51 sq cm (c) 40 sq cm (d) 68 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 22 sq cm (d) 144 sq cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 21 sq cm (c) 10 sq cm (d) 28 sq cm
  5. 5.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 96 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  6. 6.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  7. 7.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 112 cm (b) 46 cm (c) 23 cm (d) 39 cm
  8. 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
  9. 9.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 17 cm (c) 60 cm (d) 34 cm
  10. 10.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 90 sq cm (b) 105 sq cm (c) 21 sq cm (d) 42 sq cm
  11. 11.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  12. 12.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 18 sq cm (c) 12 sq cm (d) 8 sq cm
  13. 13.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 96 sq cm (d) 80 sq cm
  14. 14.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 153 sq cm (d) 170 sq cm
  15. 15.A rectangle is 14 cm long and 12 cm wide. What is its perimeter? (a) 40 cm (b) 52 cm (c) 26 cm (d) 168 cm
  16. 16.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its width? (a) 12 cm (b) 180 cm (c) 22 cm (d) 11 cm
  17. 17.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 14 sq cm (d) 64 sq cm
  18. 18.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 36 sq cm (c) 25 sq cm (d) 20 sq cm
  19. 19.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 30 cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 9 sq cm (c) 19 sq cm (d) 18 sq cm
  21. 21.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  22. 22.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 18 cm (d) 11 cm
  23. 23.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  24. 24.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 28 sq cm (c) 24 sq cm (d) 14 sq cm
  25. 25.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 16 cm (b) 9 cm (c) 133 cm (d) 8 cm
  26. 26.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 34 cm (b) 52 cm (c) 30 cm (d) 17 cm
  27. 27.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 40 sq cm (d) 60 sq cm
  28. 28.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 36 sq cm (c) 18 sq cm (d) 45 sq cm
  29. 29.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 91 sq cm (b) 78 sq cm (c) 38 sq cm (d) 19 sq cm
  30. 30.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 21 cm (c) 36 cm (d) 42 cm
  31. 31.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 26 cm (c) 72 cm (d) 34 cm
  32. 32.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 42 sq cm (c) 56 sq cm (d) 17 sq cm
  33. 33.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 16 cm (b) 8 cm (c) 140 cm (d) 9 cm
  34. 34.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 171 cm (c) 20 cm (d) 11 cm
  35. 35.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 90 cm (b) 7 cm (c) 12 cm (d) 6 cm
  36. 36.A rectangle is 12 cm long and 8 cm wide. What is its perimeter? (a) 20 cm (b) 32 cm (c) 96 cm (d) 40 cm
  37. 37.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 3 cm (b) 20 cm (c) 6 cm (d) 4 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  39. 39.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 45 cm (d) 33 cm
  40. 40.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 144 cm

Answer key

  1. 169 sq cm
  2. 51 sq cm
  3. 121 sq cm
  4. 21 sq cm
  5. 96 sq cm
  6. 196 sq cm
  7. 46 cm
  8. 35 sq cm
  9. 34 cm
  10. 90 sq cm
  11. 48 sq cm
  12. 12 sq cm
  13. 80 sq cm
  14. 153 sq cm
  15. 52 cm
  16. 11 cm
  17. 49 sq cm
  18. 25 sq cm
  19. 32 cm
  20. 18 sq cm
  21. 63 sq cm
  22. 22 cm
  23. 11 cm
  24. 24 sq cm
  25. 8 cm
  26. 34 cm
  27. 40 sq cm
  28. 45 sq cm
  29. 78 sq cm
  30. 42 cm
  31. 34 cm
  32. 42 sq cm
  33. 8 cm
  34. 10 cm
  35. 6 cm
  36. 40 cm
  37. 3 cm
  38. 64 sq cm
  39. 36 cm
  40. 9 cm

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