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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 345 · 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 has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
  2. 2.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 36 cm (c) 18 cm (d) 33 cm
  3. 3.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  4. 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 8 cm (c) 54 cm (d) 7 cm
  5. 5.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 24 cm (c) 22 cm (d) 13 cm
  6. 6.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 45 sq cm (d) 36 sq cm
  7. 7.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 32 sq cm (c) 63 sq cm (d) 16 sq cm
  8. 8.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 64 cm (c) 20 cm (d) 40 cm
  9. 9.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 176 cm
  10. 10.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 5 cm (c) 6 cm (d) 60 cm
  11. 11.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 48 sq cm (d) 56 sq cm
  12. 12.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  13. 13.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 46 sq cm (b) 143 sq cm (c) 23 sq cm (d) 130 sq cm
  14. 14.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 153 sq cm (b) 52 sq cm (c) 170 sq cm (d) 26 sq cm
  15. 15.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 140 cm (c) 22 cm (d) 11 cm
  16. 16.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 20 cm (c) 13 cm (d) 42 cm
  17. 17.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 108 cm (b) 20 cm (c) 11 cm (d) 10 cm
  18. 18.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 126 cm (c) 43 cm (d) 50 cm
  19. 19.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 22 sq cm (c) 117 sq cm (d) 44 sq cm
  20. 20.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 72 sq cm (c) 17 sq cm (d) 34 sq cm
  21. 21.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 26 sq cm (d) 169 sq cm
  22. 22.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 6 cm (c) 2 cm (d) 4 cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 10 sq cm (d) 28 sq cm
  24. 24.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 20 cm
  25. 25.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 45 sq cm (c) 28 sq cm (d) 54 sq cm
  26. 26.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 75 sq cm (b) 90 sq cm (c) 40 sq cm (d) 20 sq cm
  27. 27.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 104 sq cm (c) 21 sq cm (d) 117 sq cm
  28. 28.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  29. 29.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 44 cm (b) 6 cm (c) 5 cm (d) 10 cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 14 cm (d) 16 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  32. 32.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  33. 33.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 160 cm (c) 52 cm (d) 42 cm
  34. 34.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 4 cm (b) 32 cm (c) 3 cm (d) 6 cm
  35. 35.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  36. 36.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
  37. 37.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 9 cm (c) 3 cm (d) 4 cm
  38. 38.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 154 cm (d) 50 cm
  39. 39.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 150 cm (d) 11 cm
  40. 40.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 105 sq cm (d) 120 sq cm

Answer key

  1. 11 cm
  2. 36 cm
  3. 20 cm
  4. 7 cm
  5. 26 cm
  6. 36 sq cm
  7. 63 sq cm
  8. 40 cm
  9. 12 cm
  10. 5 cm
  11. 48 sq cm
  12. 36 sq cm
  13. 130 sq cm
  14. 153 sq cm
  15. 11 cm
  16. 26 cm
  17. 10 cm
  18. 50 cm
  19. 117 sq cm
  20. 60 sq cm
  21. 169 sq cm
  22. 2 cm
  23. 21 sq cm
  24. 2 cm
  25. 45 sq cm
  26. 75 sq cm
  27. 104 sq cm
  28. 196 sq cm
  29. 5 cm
  30. 18 cm
  31. 81 sq cm
  32. 30 sq cm
  33. 52 cm
  34. 3 cm
  35. 100 sq cm
  36. 45 sq cm
  37. 2 cm
  38. 50 cm
  39. 11 cm
  40. 105 sq cm

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