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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 555 · 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 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  2. 2.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  3. 3.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 72 cm (b) 18 cm (c) 36 cm (d) 30 cm
  4. 4.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 170 cm (c) 22 cm (d) 11 cm
  5. 5.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
  6. 6.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 24 sq cm (d) 14 sq cm
  7. 7.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 15 sq cm (c) 30 sq cm (d) 60 sq cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 14 cm (c) 12 cm (d) 16 cm
  9. 9.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 204 sq cm (b) 28 sq cm (c) 187 sq cm (d) 56 sq cm
  10. 10.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 76 cm
  11. 11.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 45 cm (c) 33 cm (d) 18 cm
  12. 12.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 152 cm (c) 9 cm (d) 10 cm
  13. 13.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 18 cm
  14. 14.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 70 cm
  15. 15.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 26 cm (c) 28 cm (d) 30 cm
  16. 16.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 24 cm (c) 13 cm (d) 12 cm
  17. 17.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 24 sq cm (c) 20 sq cm (d) 10 sq cm
  18. 18.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 5 cm
  19. 19.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 176 cm (b) 43 cm (c) 27 cm (d) 54 cm
  20. 20.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 34 sq cm (c) 51 sq cm (d) 38 sq cm
  21. 21.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 44 cm (c) 52 cm (d) 26 cm
  22. 22.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 102 cm (b) 7 cm (c) 8 cm (d) 14 cm
  23. 23.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 12 cm (b) 24 cm (c) 220 cm (d) 13 cm
  24. 24.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 18 cm (b) 8 cm (c) 4 cm (d) 5 cm
  25. 25.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 18 sq cm (d) 27 sq cm
  26. 26.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  27. 27.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 20 cm (d) 3 cm
  28. 28.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 96 cm
  29. 29.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 90 sq cm (d) 80 sq cm
  30. 30.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 28 cm (d) 56 cm
  31. 31.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 56 cm (c) 15 cm (d) 30 cm
  32. 32.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
  33. 33.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 30 sq cm (c) 256 sq cm (d) 60 sq cm
  34. 34.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 11 cm (d) 22 cm
  35. 35.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 5 cm (c) 40 cm (d) 6 cm
  36. 36.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 140 cm (b) 12 cm (c) 11 cm (d) 22 cm
  37. 37.A rectangle is 16 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 34 cm (d) 32 cm
  38. 38.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 9 cm (c) 119 cm (d) 16 cm
  39. 39.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 5 cm (c) 36 cm (d) 10 cm
  40. 40.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 10 cm (b) 6 cm (c) 44 cm (d) 5 cm

Answer key

  1. 12 sq cm
  2. 100 sq cm
  3. 36 cm
  4. 11 cm
  5. 144 sq cm
  6. 24 sq cm
  7. 50 sq cm
  8. 16 cm
  9. 187 sq cm
  10. 5 cm
  11. 36 cm
  12. 9 cm
  13. 3 cm
  14. 6 cm
  15. 30 cm
  16. 12 cm
  17. 16 sq cm
  18. 2 cm
  19. 54 cm
  20. 34 sq cm
  21. 52 cm
  22. 7 cm
  23. 12 cm
  24. 4 cm
  25. 18 sq cm
  26. 49 sq cm
  27. 3 cm
  28. 7 cm
  29. 80 sq cm
  30. 56 cm
  31. 30 cm
  32. 169 sq cm
  33. 225 sq cm
  34. 22 cm
  35. 5 cm
  36. 11 cm
  37. 36 cm
  38. 8 cm
  39. 5 cm
  40. 5 cm

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