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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 570 · 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 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 28 sq cm (d) 40 sq cm
  2. 2.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 56 sq cm (c) 225 sq cm (d) 28 sq cm
  3. 3.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
  4. 4.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  5. 5.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 80 sq cm (b) 100 sq cm (c) 48 sq cm (d) 24 sq cm
  6. 6.A rectangle has an area of 66 sq cm and a length of 11 cm. What is its width? (a) 55 cm (b) 7 cm (c) 6 cm (d) 12 cm
  7. 7.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  9. 9.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) 24 cm (d) 12 cm
  10. 10.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 130 cm (c) 23 cm (d) 36 cm
  11. 11.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 3 cm (b) 2 cm (c) 13 cm (d) 4 cm
  12. 12.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 34 cm (d) 120 cm
  13. 13.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 22 cm (d) 44 cm
  14. 14.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
  15. 15.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 45 cm (b) 28 cm (c) 56 cm (d) 187 cm
  16. 16.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  17. 17.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
  18. 18.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 22 cm (c) 42 cm (d) 44 cm
  19. 19.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 32 sq cm (d) 60 sq cm
  20. 20.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 190 cm (b) 29 cm (c) 48 cm (d) 58 cm
  21. 21.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 152 sq cm (d) 171 sq cm
  22. 22.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 43 cm (c) 46 cm (d) 60 cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 40 sq cm (c) 121 sq cm (d) 20 sq cm
  24. 24.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 12 cm (c) 6 cm (d) 4 cm
  25. 25.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 45 sq cm (c) 26 sq cm (d) 13 sq cm
  26. 26.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 143 cm (b) 12 cm (c) 13 cm (d) 24 cm
  27. 27.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 8 cm (c) 27 cm (d) 4 cm
  28. 28.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 37 cm (b) 105 cm (c) 22 cm (d) 44 cm
  29. 29.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 154 sq cm (d) 140 sq cm
  30. 30.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  31. 31.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 40 cm (d) 91 cm
  32. 32.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 72 sq cm (b) 34 sq cm (c) 17 sq cm (d) 81 sq cm
  33. 33.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 4 cm (c) 28 cm (d) 6 cm
  34. 34.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 64 cm
  35. 35.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 40 sq cm (c) 13 sq cm (d) 26 sq cm
  36. 36.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 19 cm (b) 84 cm (c) 38 cm (d) 31 cm
  37. 37.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 52 sq cm (b) 26 sq cm (c) 176 sq cm (d) 160 sq cm
  38. 38.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 60 cm
  39. 39.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm

Answer key

  1. 40 sq cm
  2. 196 sq cm
  3. 16 cm
  4. 144 sq cm
  5. 80 sq cm
  6. 6 cm
  7. 121 sq cm
  8. 25 sq cm
  9. 12 cm
  10. 46 cm
  11. 2 cm
  12. 44 cm
  13. 44 cm
  14. 12 sq cm
  15. 56 cm
  16. 225 sq cm
  17. 5 cm
  18. 44 cm
  19. 60 sq cm
  20. 58 cm
  21. 152 sq cm
  22. 46 cm
  23. 100 sq cm
  24. 3 cm
  25. 36 sq cm
  26. 12 cm
  27. 4 cm
  28. 44 cm
  29. 140 sq cm
  30. 81 sq cm
  31. 40 cm
  32. 72 sq cm
  33. 3 cm
  34. 40 cm
  35. 40 sq cm
  36. 38 cm
  37. 160 sq cm
  38. 7 cm
  39. 64 sq cm
  40. 5 cm

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