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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 358 · 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 16 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 64 sq cm (c) 48 sq cm (d) 38 sq cm
  2. 2.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 54 cm (c) 14 cm (d) 7 cm
  3. 3.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 26 cm (d) 13 cm
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 256 sq cm (d) 225 sq cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm
  6. 6.A rectangle is 17 cm long and 6 cm wide. What is its perimeter? (a) 102 cm (b) 40 cm (c) 46 cm (d) 23 cm
  7. 7.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 48 cm (d) 24 cm
  8. 8.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 7 cm (c) 70 cm (d) 6 cm
  9. 9.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) 12 cm (d) 190 cm
  10. 10.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 240 sq cm (b) 32 sq cm (c) 260 sq cm (d) 64 sq cm
  11. 11.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 128 cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 11 sq cm (c) 22 sq cm (d) 30 sq cm
  13. 13.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 42 sq cm (b) 120 sq cm (c) 108 sq cm (d) 21 sq cm
  14. 14.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 54 cm (c) 24 cm (d) 30 cm
  15. 15.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 120 cm (b) 18 cm (c) 9 cm (d) 10 cm
  16. 16.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 30 sq cm (d) 40 sq cm
  17. 17.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 18 cm (c) 9 cm (d) 136 cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 19 cm (d) 24 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 25 sq cm (d) 20 sq cm
  20. 20.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 11 cm (c) 18 cm (d) 28 cm
  21. 21.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 24 cm (b) 19 cm (c) 35 cm (d) 12 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  23. 23.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
  24. 24.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 4 cm (c) 18 cm (d) 3 cm
  25. 25.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 38 cm (c) 19 cm (d) 90 cm
  26. 26.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 32 sq cm (b) 18 sq cm (c) 48 sq cm (d) 36 sq cm
  27. 27.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
  28. 28.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 24 cm
  29. 29.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 48 sq cm (d) 16 sq cm
  30. 30.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 32 sq cm (d) 16 sq cm
  31. 31.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 30 sq cm (c) 24 sq cm (d) 20 sq cm
  32. 32.A rectangle has an area of 112 sq cm and a length of 16 cm. What is its width? (a) 96 cm (b) 7 cm (c) 14 cm (d) 8 cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 144 cm (c) 52 cm (d) 44 cm
  34. 34.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 8 cm (d) 14 cm
  35. 35.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 20 cm (d) 18 cm
  36. 36.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 80 cm (d) 21 cm
  37. 37.A rectangle is 12 cm long and 11 cm wide. What is its perimeter? (a) 132 cm (b) 23 cm (c) 46 cm (d) 35 cm
  38. 38.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 44 cm (d) 30 cm
  39. 39.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 70 cm (b) 27 cm (c) 17 cm (d) 34 cm
  40. 40.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 24 sq cm (c) 16 sq cm (d) 10 sq cm

Answer key

  1. 48 sq cm
  2. 7 cm
  3. 26 cm
  4. 225 sq cm
  5. 121 sq cm
  6. 46 cm
  7. 48 cm
  8. 6 cm
  9. 11 cm
  10. 240 sq cm
  11. 9 cm
  12. 30 sq cm
  13. 108 sq cm
  14. 30 cm
  15. 9 cm
  16. 30 sq cm
  17. 9 cm
  18. 22 cm
  19. 25 sq cm
  20. 22 cm
  21. 24 cm
  22. 144 sq cm
  23. 60 sq cm
  24. 2 cm
  25. 38 cm
  26. 32 sq cm
  27. 72 sq cm
  28. 20 cm
  29. 48 sq cm
  30. 55 sq cm
  31. 24 sq cm
  32. 7 cm
  33. 52 cm
  34. 7 cm
  35. 20 cm
  36. 42 cm
  37. 46 cm
  38. 30 cm
  39. 34 cm
  40. 16 sq cm

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