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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 842 · 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 77 sq cm and a length of 11 cm. What is its width? (a) 14 cm (b) 7 cm (c) 66 cm (d) 8 cm
  2. 2.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 18 cm (b) 36 cm (c) 72 cm (d) 30 cm
  3. 3.A rectangle has an area of 24 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 4 cm (c) 3 cm (d) 2 cm
  4. 4.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 45 cm (b) 23 cm (c) 14 cm (d) 28 cm
  5. 5.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 25 sq cm (b) 153 sq cm (c) 50 sq cm (d) 136 sq cm
  6. 6.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 45 cm (b) 54 cm (c) 162 cm (d) 27 cm
  7. 7.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 23 sq cm (b) 130 sq cm (c) 46 sq cm (d) 143 sq cm
  8. 8.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 165 cm (b) 13 cm (c) 12 cm (d) 24 cm
  9. 9.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 7 cm (c) 8 cm (d) 14 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 56 sq cm (d) 28 sq cm
  11. 11.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 10 cm (c) 5 cm (d) 56 cm
  12. 12.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 13 sq cm (c) 33 sq cm (d) 26 sq cm
  13. 13.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 144 sq cm (c) 24 sq cm (d) 48 sq cm
  14. 14.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 225 sq cm (d) 256 sq cm
  15. 15.A rectangle is 19 cm long and 8 cm wide. What is its perimeter? (a) 46 cm (b) 54 cm (c) 27 cm (d) 152 cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  17. 17.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its width? (a) 5 cm (b) 6 cm (c) 10 cm (d) 44 cm
  18. 18.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 24 sq cm (c) 36 sq cm (d) 12 sq cm
  19. 19.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 21 cm
  20. 20.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 11 cm (d) 12 cm
  21. 21.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
  22. 22.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 52 cm (c) 6 cm (d) 5 cm
  23. 23.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 105 sq cm (d) 90 sq cm
  24. 24.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 10 cm (d) 9 cm
  25. 25.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 104 cm (b) 10 cm (c) 18 cm (d) 9 cm
  26. 26.A rectangle is 11 cm long and 6 cm wide. What is its perimeter? (a) 34 cm (b) 28 cm (c) 66 cm (d) 17 cm
  27. 27.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 48 sq cm (c) 16 sq cm (d) 32 sq cm
  28. 28.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 30 cm (b) 26 cm (c) 23 cm (d) 13 cm
  29. 29.A rectangle is 14 cm long and 8 cm wide. What is its perimeter? (a) 44 cm (b) 112 cm (c) 22 cm (d) 36 cm
  30. 30.A rectangle is 11 cm long and 7 cm wide. What is its perimeter? (a) 29 cm (b) 18 cm (c) 77 cm (d) 36 cm
  31. 31.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
  32. 32.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 16 cm (b) 63 cm (c) 8 cm (d) 9 cm
  33. 33.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 20 cm (b) 6 cm (c) 4 cm (d) 3 cm
  34. 34.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 90 cm (b) 19 cm (c) 38 cm (d) 29 cm
  35. 35.A rectangle is 16 cm long and 3 cm wide. What is its perimeter? (a) 48 cm (b) 35 cm (c) 38 cm (d) 19 cm
  36. 36.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 96 cm (b) 18 cm (c) 9 cm (d) 10 cm
  37. 37.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
  38. 38.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
  39. 39.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 80 sq cm (c) 48 sq cm (d) 100 sq cm
  40. 40.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 22 cm (b) 120 cm (c) 12 cm (d) 11 cm

Answer key

  1. 7 cm
  2. 36 cm
  3. 2 cm
  4. 28 cm
  5. 136 sq cm
  6. 54 cm
  7. 130 sq cm
  8. 12 cm
  9. 7 cm
  10. 196 sq cm
  11. 5 cm
  12. 22 sq cm
  13. 144 sq cm
  14. 225 sq cm
  15. 54 cm
  16. 100 sq cm
  17. 5 cm
  18. 36 sq cm
  19. 4 cm
  20. 11 cm
  21. 2 cm
  22. 5 cm
  23. 90 sq cm
  24. 9 cm
  25. 9 cm
  26. 34 cm
  27. 48 sq cm
  28. 26 cm
  29. 44 cm
  30. 36 cm
  31. 22 cm
  32. 8 cm
  33. 3 cm
  34. 38 cm
  35. 38 cm
  36. 9 cm
  37. 40 sq cm
  38. 25 sq cm
  39. 80 sq cm
  40. 11 cm

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