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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 635 · 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 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 121 sq cm (c) 21 sq cm (d) 110 sq cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 225 sq cm (c) 60 sq cm (d) 256 sq cm
  3. 3.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  4. 4.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  5. 5.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 18 sq cm (b) 45 sq cm (c) 60 sq cm (d) 36 sq cm
  6. 6.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 34 sq cm (b) 45 sq cm (c) 17 sq cm (d) 30 sq cm
  7. 7.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 25 cm (b) 136 cm (c) 42 cm (d) 50 cm
  8. 8.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
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm
  10. 10.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 3 cm (c) 28 cm (d) 4 cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 26 sq cm (d) 52 sq cm
  12. 12.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 126 cm (b) 11 cm (c) 10 cm (d) 20 cm
  13. 13.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 209 sq cm (c) 58 sq cm (d) 190 sq cm
  14. 14.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its width? (a) 5 cm (b) 15 cm (c) 8 cm (d) 4 cm
  15. 15.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 48 cm
  16. 16.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 21 sq cm (d) 54 sq cm
  17. 17.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 160 cm (c) 18 cm (d) 10 cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 36 sq cm (d) 49 sq cm
  19. 19.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 cm
  20. 20.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 105 cm (b) 22 cm (c) 44 cm (d) 37 cm
  21. 21.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 62 sq cm (d) 31 sq cm
  22. 22.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 20 cm (c) 42 cm (d) 26 cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 36 sq cm (d) 22 sq cm
  24. 24.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 68 sq cm (b) 51 sq cm (c) 20 sq cm (d) 40 sq cm
  25. 25.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 20 sq cm (d) 30 sq cm
  26. 26.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 21 cm (b) 42 cm (c) 32 cm (d) 110 cm
  27. 27.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 13 sq cm (d) 49 sq cm
  28. 28.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 48 sq cm (c) 14 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 4 cm (c) 14 cm (d) 3 cm
  30. 30.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 45 cm (c) 50 cm (d) 100 cm
  31. 31.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 26 cm (d) 36 cm
  32. 32.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 2 cm (b) 4 cm (c) 3 cm (d) 14 cm
  33. 33.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 192 sq cm (c) 27 sq cm (d) 54 sq cm
  34. 34.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 162 sq cm (c) 52 sq cm (d) 26 sq cm
  35. 35.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  36. 36.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 33 cm (b) 70 cm (c) 38 cm (d) 19 cm
  37. 37.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  38. 38.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 13 cm (c) 176 cm (d) 12 cm
  39. 39.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  40. 40.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

Answer key

  1. 110 sq cm
  2. 225 sq cm
  3. 121 sq cm
  4. 64 sq cm
  5. 45 sq cm
  6. 30 sq cm
  7. 50 cm
  8. 11 cm
  9. 18 cm
  10. 3 cm
  11. 169 sq cm
  12. 10 cm
  13. 190 sq cm
  14. 4 cm
  15. 7 cm
  16. 54 sq cm
  17. 9 cm
  18. 36 sq cm
  19. 20 cm
  20. 44 cm
  21. 228 sq cm
  22. 26 cm
  23. 30 sq cm
  24. 51 sq cm
  25. 20 sq cm
  26. 42 cm
  27. 42 sq cm
  28. 48 sq cm
  29. 3 cm
  30. 50 cm
  31. 26 cm
  32. 2 cm
  33. 176 sq cm
  34. 144 sq cm
  35. 25 sq cm
  36. 38 cm
  37. 40 sq cm
  38. 12 cm
  39. 100 sq cm
  40. 144 sq cm

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