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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 989 · 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 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 45 sq cm (c) 34 sq cm (d) 30 sq cm
  2. 2.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 7 cm (b) 8 cm (c) 60 cm (d) 14 cm
  3. 3.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 31 cm (b) 36 cm (c) 18 cm (d) 65 cm
  4. 4.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 70 sq cm
  5. 5.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 130 sq cm (b) 44 sq cm (c) 22 sq cm (d) 117 sq cm
  6. 6.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 8 cm (c) 14 cm (d) 12 cm
  7. 7.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
  8. 8.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 170 cm (c) 22 cm (d) 12 cm
  9. 9.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 23 sq cm (b) 120 sq cm (c) 135 sq cm (d) 46 sq cm
  10. 10.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 16 sq cm (d) 64 sq cm
  11. 11.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 3 cm (b) 5 cm (c) 4 cm (d) 2 cm
  12. 12.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 5 cm (c) 24 cm (d) 6 cm
  13. 13.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 7 cm (b) 100 cm (c) 12 cm (d) 6 cm
  14. 14.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 165 cm (b) 41 cm (c) 52 cm (d) 26 cm
  15. 15.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
  16. 16.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 31 cm (c) 42 cm (d) 17 cm
  17. 17.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 8 cm (c) 5 cm (d) 4 cm
  18. 18.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 70 cm (c) 38 cm (d) 33 cm
  19. 19.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 10 cm (c) 11 cm (d) 20 cm
  20. 20.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 40 cm (c) 36 cm (d) 20 cm
  21. 21.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
  22. 22.A rectangle has an area of 96 sq cm and a length of 12 cm. What is its width? (a) 16 cm (b) 9 cm (c) 84 cm (d) 8 cm
  23. 23.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 160 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 20 sq cm (c) 36 sq cm (d) 10 sq cm
  25. 25.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 11 cm (c) 22 cm (d) 19 cm
  26. 26.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 72 sq cm (d) 63 sq cm
  27. 27.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  28. 28.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 75 sq cm (d) 90 sq cm
  29. 29.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 7 cm (c) 14 cm (d) 8 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 18 cm (b) 9 cm (c) 15 cm (d) 19 cm
  31. 31.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  32. 32.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 78 sq cm (b) 36 sq cm (c) 18 sq cm (d) 65 sq cm
  33. 33.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 100 sq cm (d) 81 sq cm
  34. 34.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 44 sq cm (d) 121 sq cm
  35. 35.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 14 sq cm (d) 9 sq cm
  36. 36.A rectangle is 13 cm long and 4 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 52 cm (d) 34 cm
  37. 37.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  38. 38.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 3 cm (c) 6 cm (d) 12 cm
  39. 39.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 256 sq cm (c) 60 sq cm (d) 30 sq cm
  40. 40.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 35 cm (b) 12 cm (c) 19 cm (d) 24 cm

Answer key

  1. 30 sq cm
  2. 7 cm
  3. 36 cm
  4. 70 sq cm
  5. 117 sq cm
  6. 16 cm
  7. 49 sq cm
  8. 11 cm
  9. 120 sq cm
  10. 64 sq cm
  11. 2 cm
  12. 5 cm
  13. 6 cm
  14. 52 cm
  15. 11 cm
  16. 34 cm
  17. 4 cm
  18. 38 cm
  19. 10 cm
  20. 40 cm
  21. 28 cm
  22. 8 cm
  23. 160 sq cm
  24. 25 sq cm
  25. 22 cm
  26. 63 sq cm
  27. 196 sq cm
  28. 75 sq cm
  29. 7 cm
  30. 18 cm
  31. 36 sq cm
  32. 65 sq cm
  33. 81 sq cm
  34. 121 sq cm
  35. 14 sq cm
  36. 34 cm
  37. 144 sq cm
  38. 3 cm
  39. 225 sq cm
  40. 24 cm

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