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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 50 · 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 84 sq cm and a length of 14 cm. What is its width? (a) 7 cm (b) 70 cm (c) 6 cm (d) 12 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  3. 3.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 64 sq cm (d) 48 sq cm
  4. 4.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 6 cm
  5. 5.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 14 cm (b) 8 cm (c) 90 cm (d) 7 cm
  6. 6.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 42 cm (c) 38 cm (d) 21 cm
  7. 7.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 40 cm
  8. 8.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 36 cm (c) 30 cm (d) 15 cm
  9. 9.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 50 sq cm (b) 160 sq cm (c) 144 sq cm (d) 25 sq cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 8 sq cm (c) 18 sq cm (d) 12 sq cm
  11. 11.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 260 sq cm (b) 32 sq cm (c) 64 sq cm (d) 240 sq cm
  12. 12.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 42 sq cm (d) 49 sq cm
  13. 13.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 187 sq cm (c) 27 sq cm (d) 54 sq cm
  14. 14.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 39 cm (b) 25 cm (c) 50 cm (d) 154 cm
  15. 15.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 144 cm (d) 9 cm
  16. 16.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
  17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 9 cm (c) 136 cm (d) 10 cm
  18. 18.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  19. 19.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 128 cm
  20. 20.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 49 sq cm (c) 14 sq cm (d) 28 sq cm
  21. 21.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 28 cm (d) 66 cm
  22. 22.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 56 cm (b) 36 cm (c) 18 cm (d) 32 cm
  23. 23.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 35 cm (c) 42 cm (d) 98 cm
  24. 24.A rectangle has an area of 77 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 7 cm (c) 66 cm (d) 14 cm
  25. 25.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 7 cm (c) 2 cm (d) 4 cm
  26. 26.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 77 cm (b) 18 cm (c) 29 cm (d) 36 cm
  27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 9 cm (c) 88 cm (d) 10 cm
  28. 28.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 110 cm (c) 42 cm (d) 21 cm
  29. 29.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
  30. 30.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 160 cm (b) 18 cm (c) 10 cm (d) 9 cm
  31. 31.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 46 sq cm (c) 130 sq cm (d) 143 sq cm
  32. 32.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 32 cm (c) 19 cm (d) 38 cm
  33. 33.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 46 cm (b) 43 cm (c) 60 cm (d) 23 cm
  34. 34.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 64 cm (b) 240 cm (c) 52 cm (d) 32 cm
  35. 35.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 9 cm (b) 140 cm (c) 16 cm (d) 8 cm
  36. 36.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 140 sq cm (b) 24 sq cm (c) 154 sq cm (d) 48 sq cm
  37. 37.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 45 sq cm (b) 60 sq cm (c) 18 sq cm (d) 36 sq cm
  38. 38.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 54 sq cm (d) 36 sq cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 56 sq cm (d) 48 sq cm
  40. 40.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 42 cm (c) 136 cm (d) 25 cm

Answer key

  1. 6 cm
  2. 144 sq cm
  3. 48 sq cm
  4. 2 cm
  5. 7 cm
  6. 42 cm
  7. 6 cm
  8. 30 cm
  9. 144 sq cm
  10. 12 sq cm
  11. 240 sq cm
  12. 42 sq cm
  13. 170 sq cm
  14. 50 cm
  15. 9 cm
  16. 81 sq cm
  17. 9 cm
  18. 20 cm
  19. 9 cm
  20. 49 sq cm
  21. 34 cm
  22. 36 cm
  23. 42 cm
  24. 7 cm
  25. 2 cm
  26. 36 cm
  27. 9 cm
  28. 42 cm
  29. 2 cm
  30. 9 cm
  31. 130 sq cm
  32. 38 cm
  33. 46 cm
  34. 64 cm
  35. 8 cm
  36. 140 sq cm
  37. 45 sq cm
  38. 36 sq cm
  39. 48 sq cm
  40. 50 cm

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