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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 510 · 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 18 cm long and 10 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 180 sq cm (d) 198 sq cm
  2. 2.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 20 sq cm (c) 40 sq cm (d) 104 sq cm
  3. 3.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 26 cm (c) 41 cm (d) 52 cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  5. 5.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 36 sq cm (d) 18 sq cm
  6. 6.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 49 sq cm (c) 64 sq cm (d) 28 sq cm
  8. 8.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  9. 9.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 200 sq cm (b) 30 sq cm (c) 220 sq cm (d) 60 sq cm
  10. 10.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 27 sq cm (c) 152 sq cm (d) 54 sq cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 36 sq cm (d) 24 sq cm
  12. 12.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 48 sq cm (c) 126 sq cm (d) 24 sq cm
  13. 13.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 20 cm
  14. 14.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 54 sq cm (b) 28 sq cm (c) 14 sq cm (d) 45 sq cm
  15. 15.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 60 cm (c) 23 cm (d) 43 cm
  16. 16.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 130 cm (b) 23 cm (c) 46 cm (d) 36 cm
  17. 17.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 10 cm (c) 36 cm (d) 6 cm
  18. 18.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 38 cm (d) 29 cm
  19. 19.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 24 cm
  20. 20.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 20 cm (c) 153 cm (d) 10 cm
  21. 21.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 65 cm (c) 7 cm (d) 6 cm
  22. 22.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 45 cm (c) 18 cm (d) 36 cm
  23. 23.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 24 cm (d) 12 cm
  24. 24.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 44 sq cm (b) 57 sq cm (c) 22 sq cm (d) 76 sq cm
  25. 25.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 48 sq cm (d) 64 sq cm
  26. 26.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 76 cm
  27. 27.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 126 cm (c) 23 cm (d) 46 cm
  28. 28.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 37 cm (c) 51 cm (d) 40 cm
  29. 29.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its width? (a) 10 cm (b) 6 cm (c) 28 cm (d) 5 cm
  30. 30.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
  31. 31.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 24 cm (b) 12 cm (c) 187 cm (d) 13 cm
  32. 32.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 63 sq cm (b) 72 sq cm (c) 32 sq cm (d) 16 sq cm
  33. 33.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 260 sq cm (c) 240 sq cm (d) 32 sq cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 169 sq cm (d) 48 sq cm
  35. 35.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  36. 36.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
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 25 cm (c) 50 cm (d) 15 cm
  38. 38.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 9 cm (b) 8 cm (c) 16 cm (d) 105 cm
  39. 39.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 46 sq cm (d) 23 sq cm
  40. 40.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 90 cm (d) 36 cm

Answer key

  1. 180 sq cm
  2. 91 sq cm
  3. 52 cm
  4. 121 sq cm
  5. 81 sq cm
  6. 35 sq cm
  7. 49 sq cm
  8. 24 sq cm
  9. 200 sq cm
  10. 152 sq cm
  11. 36 sq cm
  12. 108 sq cm
  13. 3 cm
  14. 45 sq cm
  15. 46 cm
  16. 46 cm
  17. 5 cm
  18. 38 cm
  19. 5 cm
  20. 10 cm
  21. 6 cm
  22. 36 cm
  23. 12 cm
  24. 57 sq cm
  25. 48 sq cm
  26. 5 cm
  27. 46 cm
  28. 40 cm
  29. 5 cm
  30. 196 sq cm
  31. 12 cm
  32. 63 sq cm
  33. 240 sq cm
  34. 144 sq cm
  35. 14 sq cm
  36. 25 sq cm
  37. 30 cm
  38. 8 cm
  39. 76 sq cm
  40. 42 cm

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