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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 751 · 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 12 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 27 cm (c) 36 cm (d) 15 cm
  2. 2.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 49 sq cm (c) 64 sq cm (d) 14 sq cm
  3. 3.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  4. 4.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 80 sq cm (b) 18 sq cm (c) 90 sq cm (d) 36 sq cm
  5. 5.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 4 cm (d) 5 cm
  6. 6.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 43 cm (b) 50 cm (c) 25 cm (d) 126 cm
  7. 7.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 24 cm
  8. 8.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 26 cm (b) 52 cm (c) 153 cm (d) 43 cm
  9. 9.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 11 cm (c) 22 cm (d) 30 cm
  10. 10.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
  11. 11.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 34 cm (c) 42 cm (d) 17 cm
  12. 12.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 152 sq cm (b) 171 sq cm (c) 54 sq cm (d) 27 sq cm
  13. 13.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 54 cm (c) 44 cm (d) 27 cm
  14. 14.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 48 cm (b) 143 cm (c) 37 cm (d) 24 cm
  15. 15.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 81 sq cm (c) 100 sq cm (d) 18 sq cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 20 sq cm (d) 40 sq cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 30 sq cm (b) 64 sq cm (c) 56 sq cm (d) 15 sq cm
  18. 18.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 36 sq cm (b) 84 sq cm (c) 72 sq cm (d) 18 sq cm
  19. 19.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 209 cm
  20. 20.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 49 sq cm (c) 24 sq cm (d) 36 sq cm
  21. 21.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  22. 22.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 24 cm (c) 13 cm (d) 12 cm
  23. 23.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 3 cm (c) 4 cm (d) 2 cm
  24. 24.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 16 sq cm (d) 8 sq cm
  25. 25.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 81 sq cm (d) 64 sq cm
  26. 26.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 28 cm (d) 18 cm
  27. 27.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 18 cm (d) 16 cm
  28. 28.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 50 cm (b) 62 cm (c) 228 cm (d) 31 cm
  29. 29.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 49 sq cm (c) 13 sq cm (d) 42 sq cm
  30. 30.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 99 sq cm (c) 38 sq cm (d) 88 sq cm
  31. 31.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 195 sq cm (c) 27 sq cm (d) 180 sq cm
  32. 32.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 21 cm (c) 40 cm (d) 13 cm
  33. 33.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 4 cm (c) 39 cm (d) 5 cm
  34. 34.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 143 sq cm (c) 46 sq cm (d) 130 sq cm
  35. 35.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 19 cm (c) 24 cm (d) 11 cm
  36. 36.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 35 cm (c) 38 cm (d) 19 cm
  37. 37.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) 13 cm (d) 220 cm
  38. 38.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 18 cm (c) 8 cm (d) 5 cm
  39. 39.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 3 cm (b) 6 cm (c) 38 cm (d) 4 cm
  40. 40.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 27 sq cm (d) 140 sq cm

Answer key

  1. 30 cm
  2. 49 sq cm
  3. 144 sq cm
  4. 80 sq cm
  5. 4 cm
  6. 50 cm
  7. 4 cm
  8. 52 cm
  9. 22 cm
  10. 225 sq cm
  11. 34 cm
  12. 152 sq cm
  13. 54 cm
  14. 48 cm
  15. 81 sq cm
  16. 100 sq cm
  17. 56 sq cm
  18. 72 sq cm
  19. 12 cm
  20. 36 sq cm
  21. 24 sq cm
  22. 12 cm
  23. 2 cm
  24. 12 sq cm
  25. 64 sq cm
  26. 22 cm
  27. 18 cm
  28. 62 cm
  29. 42 sq cm
  30. 88 sq cm
  31. 180 sq cm
  32. 26 cm
  33. 4 cm
  34. 130 sq cm
  35. 22 cm
  36. 38 cm
  37. 12 cm
  38. 4 cm
  39. 3 cm
  40. 140 sq cm

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