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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 576 · 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 91 sq cm and a length of 13 cm. What is its width? (a) 14 cm (b) 8 cm (c) 78 cm (d) 7 cm
  2. 2.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 8 cm (c) 9 cm (d) 16 cm
  3. 3.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 24 sq cm (c) 20 sq cm (d) 30 sq cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  5. 5.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 76 cm (d) 42 cm
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  7. 7.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 6 cm (b) 4 cm (c) 22 cm (d) 3 cm
  8. 8.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 40 sq cm (d) 13 sq cm
  9. 9.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 88 sq cm (b) 99 sq cm (c) 19 sq cm (d) 38 sq cm
  10. 10.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 22 cm (d) 12 cm
  11. 11.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 6 cm (d) 3 cm
  12. 12.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 95 sq cm (b) 48 sq cm (c) 114 sq cm (d) 24 sq cm
  13. 13.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 26 sq cm (c) 22 sq cm (d) 13 sq cm
  14. 14.A rectangle is 17 cm long and 2 cm wide. What is its area? (a) 19 sq cm (b) 51 sq cm (c) 38 sq cm (d) 34 sq cm
  15. 15.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 27 sq cm (b) 171 sq cm (c) 152 sq cm (d) 54 sq 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 2 cm wide. What is its area? (a) 12 sq cm (b) 30 sq cm (c) 20 sq cm (d) 24 sq cm
  18. 18.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 152 cm (b) 46 cm (c) 27 cm (d) 54 cm
  19. 19.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
  20. 20.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 128 sq cm (d) 46 sq cm
  21. 21.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 99 sq cm (d) 110 sq cm
  22. 22.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 6 cm (c) 14 cm (d) 4 cm
  23. 23.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 50 sq cm (c) 40 sq cm (d) 14 sq cm
  24. 24.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 76 sq cm (b) 95 sq cm (c) 23 sq cm (d) 46 sq cm
  25. 25.A rectangle is 14 cm long and 10 cm wide. What is its perimeter? (a) 48 cm (b) 140 cm (c) 24 cm (d) 38 cm
  26. 26.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 120 sq cm (b) 52 sq cm (c) 26 sq cm (d) 140 sq cm
  27. 27.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 45 cm
  28. 28.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 54 sq cm (b) 21 sq cm (c) 42 sq cm (d) 72 sq cm
  29. 29.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 27 sq cm
  30. 30.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 14 sq cm (c) 21 sq cm (d) 9 sq cm
  31. 31.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 13 cm (b) 24 cm (c) 187 cm (d) 12 cm
  32. 32.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 160 sq cm (b) 144 sq cm (c) 25 sq cm (d) 50 sq cm
  33. 33.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 20 cm (c) 21 cm (d) 10 cm
  34. 34.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 12 cm (b) 24 cm (c) 154 cm (d) 13 cm
  35. 35.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 30 sq cm (d) 63 sq cm
  36. 36.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 169 sq cm (d) 48 sq cm
  37. 37.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 7 cm (c) 40 cm (d) 12 cm
  38. 38.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 20 cm (c) 40 cm (d) 99 cm
  39. 39.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 64 sq cm (d) 16 sq cm
  40. 40.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 31 cm (b) 17 cm (c) 34 cm (d) 42 cm

Answer key

  1. 7 cm
  2. 8 cm
  3. 24 sq cm
  4. 49 sq cm
  5. 46 cm
  6. 36 sq cm
  7. 3 cm
  8. 40 sq cm
  9. 88 sq cm
  10. 11 cm
  11. 3 cm
  12. 95 sq cm
  13. 22 sq cm
  14. 34 sq cm
  15. 152 sq cm
  16. 40 cm
  17. 20 sq cm
  18. 54 cm
  19. 12 sq cm
  20. 112 sq cm
  21. 99 sq cm
  22. 3 cm
  23. 40 sq cm
  24. 76 sq cm
  25. 48 cm
  26. 120 sq cm
  27. 6 cm
  28. 54 sq cm
  29. 27 sq cm
  30. 14 sq cm
  31. 12 cm
  32. 144 sq cm
  33. 20 cm
  34. 12 cm
  35. 54 sq cm
  36. 144 sq cm
  37. 6 cm
  38. 40 cm
  39. 64 sq cm
  40. 34 cm

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