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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 959 · 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 square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 121 sq cm (d) 144 sq cm
  2. 2.A rectangle is 10 cm long and 3 cm wide. What is its area? (a) 30 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  3. 3.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 32 sq cm (d) 72 sq cm
  4. 4.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 15 sq cm (d) 50 sq cm
  5. 5.A rectangle has an area of 39 sq cm and a length of 13 cm. What is its width? (a) 4 cm (b) 26 cm (c) 3 cm (d) 6 cm
  6. 6.A rectangle is 20 cm long and 12 cm wide. What is its perimeter? (a) 32 cm (b) 240 cm (c) 64 cm (d) 52 cm
  7. 7.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm
  8. 8.A rectangle is 20 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 120 sq cm (c) 100 sq cm (d) 25 sq cm
  9. 9.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 220 cm (c) 13 cm (d) 12 cm
  10. 10.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  11. 11.A rectangle has an area of 38 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 3 cm (c) 19 cm (d) 2 cm
  12. 12.A rectangle is 12 cm long and 5 cm wide. What is its area? (a) 72 sq cm (b) 60 sq cm (c) 34 sq cm (d) 17 sq cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 2 cm (d) 4 cm
  14. 14.A rectangle is 14 cm long and 6 cm wide. What is its area? (a) 40 sq cm (b) 98 sq cm (c) 20 sq cm (d) 84 sq cm
  15. 15.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 12 cm (c) 190 cm (d) 22 cm
  16. 16.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
  17. 17.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
  18. 18.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 84 cm (c) 14 cm (d) 7 cm
  19. 19.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 36 sq cm (d) 25 sq cm
  20. 20.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm
  21. 21.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 39 cm (c) 54 cm (d) 21 cm
  22. 22.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
  23. 23.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm
  24. 24.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 130 sq cm (d) 23 sq cm
  25. 25.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 13 cm (c) 12 cm (d) 24 cm
  26. 26.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 12 sq cm (d) 24 sq cm
  27. 27.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  28. 28.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 29 cm (b) 60 cm (c) 34 cm (d) 17 cm
  29. 29.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 24 cm (b) 30 cm (c) 15 cm (d) 54 cm
  30. 30.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 19 cm (c) 9 cm (d) 18 cm
  31. 31.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  32. 32.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 15 cm (c) 23 cm (d) 30 cm
  33. 33.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 30 cm (d) 16 cm
  34. 34.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 70 sq cm (b) 17 sq cm (c) 80 sq cm (d) 34 sq cm
  35. 35.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 51 cm (c) 4 cm (d) 8 cm
  36. 36.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 102 sq cm (d) 85 sq cm
  37. 37.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 24 sq cm (d) 140 sq cm
  38. 38.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
  39. 39.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 22 cm (d) 14 cm
  40. 40.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 48 cm (b) 43 cm (c) 24 cm (d) 95 cm

Answer key

  1. 121 sq cm
  2. 30 sq cm
  3. 63 sq cm
  4. 50 sq cm
  5. 3 cm
  6. 64 cm
  7. 10 cm
  8. 100 sq cm
  9. 12 cm
  10. 81 sq cm
  11. 2 cm
  12. 60 sq cm
  13. 2 cm
  14. 84 sq cm
  15. 11 cm
  16. 9 cm
  17. 49 sq cm
  18. 7 cm
  19. 25 sq cm
  20. 4 cm
  21. 42 cm
  22. 9 cm
  23. 32 cm
  24. 130 sq cm
  25. 12 cm
  26. 35 sq cm
  27. 169 sq cm
  28. 34 cm
  29. 30 cm
  30. 18 cm
  31. 20 cm
  32. 30 cm
  33. 32 cm
  34. 70 sq cm
  35. 4 cm
  36. 85 sq cm
  37. 140 sq cm
  38. 6 cm
  39. 28 cm
  40. 48 cm

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