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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 348 · 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 13 cm long and 4 cm wide. What is its area? (a) 65 sq cm (b) 17 sq cm (c) 52 sq cm (d) 34 sq cm
  2. 2.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 9 cm (b) 10 cm (c) 152 cm (d) 18 cm
  3. 3.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
  4. 4.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 48 cm (b) 24 cm (c) 119 cm (d) 41 cm
  5. 5.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 220 cm
  6. 6.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 36 sq cm (c) 18 sq cm (d) 81 sq cm
  7. 7.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 44 sq cm (c) 130 sq cm (d) 22 sq cm
  8. 8.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 196 sq cm (d) 52 sq cm
  9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 6 cm (c) 3 cm (d) 4 cm
  10. 10.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 18 cm (d) 10 cm
  11. 11.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 27 sq cm (c) 11 sq cm (d) 18 sq cm
  12. 12.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 136 cm (b) 42 cm (c) 25 cm (d) 50 cm
  13. 13.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 100 sq cm (d) 90 sq cm
  14. 14.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 54 cm (c) 27 cm (d) 140 cm
  15. 15.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
  16. 16.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 21 sq cm (c) 110 sq cm (d) 42 sq cm
  17. 17.A rectangle is 19 cm long and 5 cm wide. What is its perimeter? (a) 43 cm (b) 95 cm (c) 48 cm (d) 24 cm
  18. 18.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 42 cm (b) 4 cm (c) 8 cm (d) 5 cm
  19. 19.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 98 cm (b) 8 cm (c) 9 cm (d) 16 cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 40 sq cm (d) 100 sq cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 24 sq cm (d) 40 sq cm
  22. 22.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 30 cm (d) 28 cm
  23. 23.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 140 sq cm (b) 54 sq cm (c) 160 sq cm (d) 27 sq cm
  24. 24.A rectangle is 15 cm long and 6 cm wide. What is its area? (a) 105 sq cm (b) 21 sq cm (c) 42 sq cm (d) 90 sq cm
  25. 25.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 30 cm (d) 36 cm
  26. 26.A rectangle is 19 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 95 sq cm (c) 24 sq cm (d) 114 sq cm
  27. 27.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 45 sq cm (c) 26 sq cm (d) 36 sq cm
  28. 28.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 33 cm (b) 5 cm (c) 8 cm (d) 4 cm
  29. 29.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 31 cm (b) 99 cm (c) 40 cm (d) 20 cm
  30. 30.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 13 cm (b) 23 cm (c) 30 cm (d) 26 cm
  31. 31.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  32. 32.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 171 cm (c) 47 cm (d) 56 cm
  33. 33.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 26 sq cm (b) 162 sq cm (c) 52 sq cm (d) 144 sq cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 30 cm (c) 26 cm (d) 15 cm
  35. 35.A rectangle is 12 cm long and 2 cm wide. What is its area? (a) 28 sq cm (b) 36 sq cm (c) 24 sq cm (d) 14 sq cm
  36. 36.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 187 sq cm (d) 28 sq cm
  37. 37.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 160 cm
  38. 38.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 121 sq cm (d) 22 sq cm
  39. 39.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 3 cm (b) 9 cm (c) 2 cm (d) 4 cm
  40. 40.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 27 sq cm (d) 24 sq cm

Answer key

  1. 52 sq cm
  2. 9 cm
  3. 9 cm
  4. 48 cm
  5. 12 cm
  6. 81 sq cm
  7. 117 sq cm
  8. 169 sq cm
  9. 3 cm
  10. 9 cm
  11. 18 sq cm
  12. 50 cm
  13. 90 sq cm
  14. 54 cm
  15. 42 cm
  16. 110 sq cm
  17. 48 cm
  18. 4 cm
  19. 8 cm
  20. 100 sq cm
  21. 32 sq cm
  22. 30 cm
  23. 140 sq cm
  24. 90 sq cm
  25. 30 cm
  26. 95 sq cm
  27. 36 sq cm
  28. 4 cm
  29. 40 cm
  30. 26 cm
  31. 196 sq cm
  32. 56 cm
  33. 144 sq cm
  34. 30 cm
  35. 24 sq cm
  36. 187 sq cm
  37. 9 cm
  38. 121 sq cm
  39. 2 cm
  40. 27 sq cm

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