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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 412 · 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 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 32 cm (d) 48 cm
  2. 2.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 40 cm (c) 6 cm (d) 10 cm
  3. 3.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  4. 4.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 14 cm (c) 18 cm (d) 9 cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  6. 6.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 12 cm (d) 22 cm
  7. 7.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 154 cm
  8. 8.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 27 cm (b) 5 cm (c) 4 cm (d) 8 cm
  9. 9.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 52 sq cm (b) 165 sq cm (c) 180 sq cm (d) 26 sq cm
  10. 10.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 10 cm (b) 17 cm (c) 21 cm (d) 20 cm
  11. 11.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 112 sq cm (b) 44 sq cm (c) 96 sq cm (d) 22 sq cm
  12. 12.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 8 cm (c) 14 cm (d) 90 cm
  13. 13.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 104 sq cm (b) 42 sq cm (c) 21 sq cm (d) 117 sq cm
  14. 14.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 144 cm (c) 10 cm (d) 20 cm
  15. 15.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 57 cm (c) 22 cm (d) 44 cm
  16. 16.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 35 cm (c) 75 cm (d) 40 cm
  17. 17.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 34 cm (d) 70 cm
  18. 18.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 4 cm (b) 6 cm (c) 16 cm (d) 3 cm
  19. 19.A rectangle is 18 cm long and 5 cm wide. What is its perimeter? (a) 46 cm (b) 23 cm (c) 90 cm (d) 41 cm
  20. 20.A rectangle has an area of 128 sq cm and a length of 16 cm. What is its width? (a) 16 cm (b) 9 cm (c) 112 cm (d) 8 cm
  21. 21.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 56 cm (b) 45 cm (c) 28 cm (d) 187 cm
  22. 22.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 22 cm (b) 36 cm (c) 13 cm (d) 26 cm
  23. 23.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  24. 24.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 12 cm (c) 14 cm (d) 8 cm
  25. 25.A rectangle is 16 cm long and 4 cm wide. What is its perimeter? (a) 64 cm (b) 36 cm (c) 20 cm (d) 40 cm
  26. 26.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 8 cm (c) 7 cm (d) 14 cm
  27. 27.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 5 cm (c) 21 cm (d) 4 cm
  28. 28.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 13 cm (c) 12 cm (d) 24 cm
  29. 29.A square has a perimeter of 20 cm. What is its area? (a) 36 sq cm (b) 10 sq cm (c) 20 sq cm (d) 25 sq cm
  30. 30.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  31. 31.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 22 cm (c) 11 cm (d) 18 cm
  32. 32.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 32 sq cm (c) 64 sq cm (d) 16 sq cm
  33. 33.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  34. 34.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 128 sq cm (c) 46 sq cm (d) 23 sq cm
  35. 35.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 119 cm (c) 8 cm (d) 16 cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 42 cm (b) 110 cm (c) 32 cm (d) 21 cm
  37. 37.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 15 cm (c) 26 cm (d) 30 cm
  38. 38.A rectangle is 13 cm long and 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 40 cm (d) 91 cm
  39. 39.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 24 sq cm (d) 30 sq cm
  40. 40.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 14 cm (b) 33 cm (c) 25 cm (d) 28 cm

Answer key

  1. 32 cm
  2. 5 cm
  3. 102 sq cm
  4. 18 cm
  5. 144 sq cm
  6. 11 cm
  7. 12 cm
  8. 4 cm
  9. 165 sq cm
  10. 20 cm
  11. 96 sq cm
  12. 7 cm
  13. 104 sq cm
  14. 10 cm
  15. 44 cm
  16. 40 cm
  17. 34 cm
  18. 3 cm
  19. 46 cm
  20. 8 cm
  21. 56 cm
  22. 26 cm
  23. 16 sq cm
  24. 16 cm
  25. 40 cm
  26. 7 cm
  27. 4 cm
  28. 12 cm
  29. 25 sq cm
  30. 100 sq cm
  31. 22 cm
  32. 64 sq cm
  33. 121 sq cm
  34. 112 sq cm
  35. 8 cm
  36. 42 cm
  37. 30 cm
  38. 40 cm
  39. 24 sq cm
  40. 28 cm

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