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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 829 · 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 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 48 cm (c) 24 cm (d) 95 cm
  2. 2.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 44 cm (b) 54 cm (c) 27 cm (d) 170 cm
  3. 3.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 187 sq cm (b) 170 sq cm (c) 27 sq cm (d) 54 sq cm
  4. 4.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 14 cm (b) 8 cm (c) 60 cm (d) 7 cm
  5. 5.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
  6. 6.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 95 sq cm (c) 114 sq cm (d) 48 sq cm
  7. 7.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  8. 8.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 21 cm (b) 33 cm (c) 42 cm (d) 108 cm
  9. 9.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 56 sq cm (d) 196 sq cm
  10. 10.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 12 cm (b) 11 cm (c) 160 cm (d) 22 cm
  11. 11.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 15 cm (b) 50 cm (c) 30 cm (d) 25 cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 39 cm (c) 112 cm (d) 23 cm
  13. 13.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 19 sq cm (b) 75 sq cm (c) 60 sq cm (d) 38 sq cm
  14. 14.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  15. 15.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 51 cm (c) 5 cm (d) 8 cm
  16. 16.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 204 sq cm (c) 29 sq cm (d) 221 sq cm
  17. 17.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 56 sq cm (b) 18 sq cm (c) 36 sq cm (d) 70 sq cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  19. 19.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 3 cm (d) 4 cm
  20. 20.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 14 cm (d) 9 cm
  21. 21.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
  22. 22.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 171 sq cm (b) 152 sq cm (c) 27 sq cm (d) 54 sq cm
  23. 23.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 114 cm (c) 7 cm (d) 14 cm
  24. 24.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 68 cm (c) 5 cm (d) 10 cm
  25. 25.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 19 cm (b) 36 cm (c) 38 cm (d) 34 cm
  26. 26.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 2 cm (b) 1 cm (c) 3 cm (d) 4 cm
  27. 27.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 17 cm
  28. 28.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 28 cm (d) 25 cm
  29. 29.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 13 cm (c) 12 cm (d) 24 cm
  30. 30.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
  31. 31.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 51 sq cm (b) 19 sq cm (c) 38 sq cm (d) 34 sq cm
  32. 32.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 40 sq cm (c) 44 sq cm (d) 60 sq cm
  33. 33.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 144 sq cm (c) 160 sq cm (d) 25 sq cm
  34. 34.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
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 25 sq cm (c) 20 sq cm (d) 36 sq cm
  36. 36.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 13 cm (c) 21 cm (d) 26 cm
  37. 37.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 200 cm
  38. 38.A rectangle is 19 cm long and 3 cm wide. What is its area? (a) 57 sq cm (b) 44 sq cm (c) 22 sq cm (d) 76 sq cm
  39. 39.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 180 sq cm (b) 198 sq cm (c) 56 sq cm (d) 28 sq cm
  40. 40.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm

Answer key

  1. 48 cm
  2. 54 cm
  3. 170 sq cm
  4. 7 cm
  5. 42 cm
  6. 95 sq cm
  7. 169 sq cm
  8. 42 cm
  9. 196 sq cm
  10. 11 cm
  11. 30 cm
  12. 46 cm
  13. 60 sq cm
  14. 8 cm
  15. 4 cm
  16. 204 sq cm
  17. 56 sq cm
  18. 49 sq cm
  19. 3 cm
  20. 18 cm
  21. 200 sq cm
  22. 152 sq cm
  23. 7 cm
  24. 5 cm
  25. 38 cm
  26. 2 cm
  27. 2 cm
  28. 28 cm
  29. 12 cm
  30. 100 sq cm
  31. 34 sq cm
  32. 40 sq cm
  33. 144 sq cm
  34. 225 sq cm
  35. 25 sq cm
  36. 26 cm
  37. 11 cm
  38. 57 sq cm
  39. 180 sq cm
  40. 36 sq cm

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