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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 601 · 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 20 cm long and 6 cm wide. What is its perimeter? (a) 46 cm (b) 120 cm (c) 52 cm (d) 26 cm
  2. 2.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 48 sq cm (d) 144 sq cm
  3. 3.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 90 cm (b) 42 cm (c) 36 cm (d) 21 cm
  4. 4.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 8 cm (d) 16 cm
  5. 5.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 20 sq cm (d) 36 sq cm
  6. 6.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 18 sq cm (c) 36 sq cm (d) 78 sq cm
  7. 7.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 9 cm (c) 10 cm (d) 18 cm
  8. 8.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 35 cm (c) 12 cm (d) 7 cm
  9. 9.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 144 cm
  10. 10.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  11. 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 20 cm (b) 117 cm (c) 11 cm (d) 10 cm
  12. 12.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 42 sq cm (b) 85 sq cm (c) 68 sq cm (d) 21 sq cm
  13. 13.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
  14. 14.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 23 sq cm (b) 102 sq cm (c) 46 sq cm (d) 119 sq cm
  15. 15.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 160 cm (c) 12 cm (d) 11 cm
  16. 16.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
  17. 17.A rectangle is 13 cm long and 12 cm wide. What is its area? (a) 50 sq cm (b) 169 sq cm (c) 25 sq cm (d) 156 sq cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 34 sq cm (b) 56 sq cm (c) 17 sq cm (d) 42 sq cm
  19. 19.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 46 cm (c) 39 cm (d) 112 cm
  20. 20.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 144 cm (b) 25 cm (c) 41 cm (d) 50 cm
  21. 21.A rectangle is 19 cm long and 12 cm wide. What is its perimeter? (a) 31 cm (b) 228 cm (c) 50 cm (d) 62 cm
  22. 22.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 21 sq cm (d) 42 sq cm
  23. 23.A rectangle has an area of 105 sq cm and a length of 15 cm. What is its width? (a) 90 cm (b) 7 cm (c) 14 cm (d) 8 cm
  24. 24.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 64 sq cm (d) 32 sq cm
  25. 25.A rectangle has an area of 91 sq cm and a length of 13 cm. What is its width? (a) 78 cm (b) 8 cm (c) 7 cm (d) 14 cm
  26. 26.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 22 cm (c) 11 cm (d) 130 cm
  27. 27.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  28. 28.A rectangle has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 4 cm (c) 3 cm (d) 2 cm
  29. 29.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 104 sq cm (d) 91 sq cm
  30. 30.A rectangle is 19 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 46 cm (c) 23 cm (d) 76 cm
  31. 31.A rectangle is 10 cm long and 6 cm wide. What is its perimeter? (a) 60 cm (b) 26 cm (c) 16 cm (d) 32 cm
  32. 32.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 18 cm (b) 9 cm (c) 112 cm (d) 10 cm
  33. 33.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 25 cm (c) 136 cm (d) 50 cm
  34. 34.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
  35. 35.A rectangle is 18 cm long and 10 cm wide. What is its area? (a) 198 sq cm (b) 56 sq cm (c) 180 sq cm (d) 28 sq cm
  36. 36.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 170 sq cm (c) 26 sq cm (d) 153 sq cm
  37. 37.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its width? (a) 14 cm (b) 8 cm (c) 102 cm (d) 7 cm
  38. 38.A rectangle has an area of 108 sq cm and a length of 12 cm. What is its width? (a) 9 cm (b) 10 cm (c) 96 cm (d) 18 cm
  39. 39.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 36 sq cm (c) 81 sq cm (d) 100 sq cm
  40. 40.A rectangle is 16 cm long and 7 cm wide. What is its area? (a) 23 sq cm (b) 112 sq cm (c) 46 sq cm (d) 128 sq cm

Answer key

  1. 52 cm
  2. 144 sq cm
  3. 42 cm
  4. 8 cm
  5. 25 sq cm
  6. 65 sq cm
  7. 9 cm
  8. 6 cm
  9. 10 cm
  10. 49 sq cm
  11. 10 cm
  12. 68 sq cm
  13. 30 cm
  14. 102 sq cm
  15. 11 cm
  16. 121 sq cm
  17. 156 sq cm
  18. 42 sq cm
  19. 46 cm
  20. 50 cm
  21. 62 cm
  22. 80 sq cm
  23. 7 cm
  24. 64 sq cm
  25. 7 cm
  26. 11 cm
  27. 21 sq cm
  28. 2 cm
  29. 91 sq cm
  30. 46 cm
  31. 32 cm
  32. 9 cm
  33. 50 cm
  34. 5 cm
  35. 180 sq cm
  36. 153 sq cm
  37. 7 cm
  38. 9 cm
  39. 81 sq cm
  40. 112 sq cm

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