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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 209 · 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 6 cm wide. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 84 sq cm (d) 72 sq cm
  2. 2.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 35 cm (d) 117 cm
  3. 3.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  4. 4.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 187 cm (c) 24 cm (d) 12 cm
  5. 5.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 30 sq cm (c) 64 sq cm (d) 56 sq cm
  6. 6.A rectangle is 13 cm long and 11 cm wide. What is its perimeter? (a) 24 cm (b) 48 cm (c) 37 cm (d) 143 cm
  7. 7.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 32 sq cm (c) 11 sq cm (d) 24 sq cm
  8. 8.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 108 cm
  9. 9.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 66 cm (d) 28 cm
  10. 10.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 54 sq cm (b) 192 sq cm (c) 176 sq cm (d) 27 sq cm
  11. 11.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  12. 12.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 48 sq cm (b) 38 sq cm (c) 64 sq cm (d) 19 sq cm
  13. 13.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 196 sq cm (d) 56 sq cm
  14. 14.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 228 sq cm (b) 60 sq cm (c) 30 sq cm (d) 209 sq cm
  15. 15.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 24 cm (b) 26 cm (c) 13 cm (d) 22 cm
  16. 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 20 cm (d) 13 cm
  17. 17.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 14 cm (b) 23 cm (c) 28 cm (d) 45 cm
  18. 18.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 16 sq cm (c) 60 sq cm (d) 32 sq cm
  19. 19.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 52 cm (b) 133 cm (c) 26 cm (d) 45 cm
  20. 20.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 28 cm (c) 56 cm (d) 180 cm
  21. 21.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 21 cm (c) 17 cm (d) 20 cm
  22. 22.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 50 sq cm (c) 14 sq cm (d) 28 sq cm
  23. 23.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 26 cm (d) 13 cm
  24. 24.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 30 cm (c) 6 cm (d) 4 cm
  25. 25.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 13 sq cm (b) 30 sq cm (c) 40 sq cm (d) 26 sq cm
  26. 26.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 136 cm (b) 10 cm (c) 9 cm (d) 18 cm
  27. 27.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 100 sq cm (c) 40 sq cm (d) 20 sq cm
  28. 28.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 16 cm (c) 18 cm (d) 10 cm
  29. 29.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 25 cm (b) 40 cm (c) 150 cm (d) 50 cm
  30. 30.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  31. 31.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 21 sq cm (d) 9 sq cm
  32. 32.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm
  33. 33.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 171 cm
  34. 34.A rectangle has an area of 140 sq cm and a length of 20 cm. What is its width? (a) 14 cm (b) 120 cm (c) 8 cm (d) 7 cm
  35. 35.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 24 cm (c) 12 cm (d) 19 cm
  36. 36.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 117 sq cm (c) 104 sq cm (d) 42 sq cm
  37. 37.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 22 cm (c) 190 cm (d) 12 cm
  38. 38.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 100 sq cm (b) 25 sq cm (c) 50 sq cm (d) 120 sq cm
  39. 39.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 23 sq cm (d) 46 sq cm
  40. 40.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 28 sq cm (d) 14 sq cm

Answer key

  1. 72 sq cm
  2. 44 cm
  3. 25 sq cm
  4. 12 cm
  5. 56 sq cm
  6. 48 cm
  7. 24 sq cm
  8. 7 cm
  9. 34 cm
  10. 176 sq cm
  11. 121 sq cm
  12. 48 sq cm
  13. 196 sq cm
  14. 209 sq cm
  15. 26 cm
  16. 26 cm
  17. 28 cm
  18. 60 sq cm
  19. 52 cm
  20. 56 cm
  21. 20 cm
  22. 40 sq cm
  23. 26 cm
  24. 3 cm
  25. 30 sq cm
  26. 9 cm
  27. 100 sq cm
  28. 20 cm
  29. 50 cm
  30. 12 sq cm
  31. 14 sq cm
  32. 22 cm
  33. 10 cm
  34. 7 cm
  35. 24 cm
  36. 104 sq cm
  37. 11 cm
  38. 100 sq cm
  39. 130 sq cm
  40. 49 sq cm

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