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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 999 · 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 17 cm long and 7 cm wide. What is its area? (a) 119 sq cm (b) 136 sq cm (c) 48 sq cm (d) 24 sq cm
  2. 2.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 198 cm (b) 24 cm (c) 13 cm (d) 12 cm
  3. 3.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 41 cm (d) 144 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  5. 5.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 9 sq cm (c) 14 sq cm (d) 18 sq cm
  6. 6.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 2 cm (b) 20 cm (c) 4 cm (d) 3 cm
  7. 7.A rectangle is 19 cm long and 7 cm wide. What is its perimeter? (a) 26 cm (b) 133 cm (c) 45 cm (d) 52 cm
  8. 8.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 30 cm (b) 36 cm (c) 18 cm (d) 72 cm
  9. 9.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 99 cm (d) 20 cm
  10. 10.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 200 sq cm (b) 58 sq cm (c) 180 sq cm (d) 29 sq cm
  11. 11.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
  12. 12.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 64 sq cm (d) 49 sq cm
  13. 13.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 60 sq cm (b) 45 sq cm (c) 36 sq cm (d) 18 sq cm
  14. 14.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 135 cm
  15. 15.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 40 cm (c) 3 cm (d) 4 cm
  16. 16.A rectangle is 11 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 55 sq cm (c) 15 sq cm (d) 44 sq cm
  17. 17.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 119 cm (b) 16 cm (c) 9 cm (d) 8 cm
  18. 18.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its width? (a) 14 cm (b) 3 cm (c) 6 cm (d) 4 cm
  19. 19.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 56 cm (b) 30 cm (c) 23 cm (d) 15 cm
  20. 20.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 57 cm (c) 44 cm (d) 41 cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
  22. 22.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 12 sq cm (c) 8 sq cm (d) 16 sq cm
  23. 23.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 40 sq cm (c) 28 sq cm (d) 50 sq cm
  24. 24.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  25. 25.A rectangle is 15 cm long and 8 cm wide. What is its area? (a) 46 sq cm (b) 135 sq cm (c) 23 sq cm (d) 120 sq cm
  26. 26.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 12 sq cm (c) 24 sq cm (d) 36 sq cm
  27. 27.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its width? (a) 176 cm (b) 13 cm (c) 12 cm (d) 24 cm
  28. 28.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 150 cm
  29. 29.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 7 cm (b) 6 cm (c) 12 cm (d) 75 cm
  30. 30.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 44 cm (b) 22 cm (c) 105 cm (d) 37 cm
  31. 31.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 6 cm (b) 7 cm (c) 60 cm (d) 12 cm
  32. 32.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 40 sq cm (b) 90 sq cm (c) 20 sq cm (d) 75 sq cm
  33. 33.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 45 cm
  34. 34.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 24 sq cm (b) 18 sq cm (c) 19 sq cm (d) 9 sq cm
  35. 35.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 24 cm (d) 27 cm
  36. 36.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 10 sq cm (c) 20 sq cm (d) 24 sq cm
  37. 37.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 144 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 225 sq cm (c) 60 sq cm (d) 30 sq cm
  39. 39.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 98 cm (d) 35 cm
  40. 40.A rectangle is 16 cm long and 6 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 112 sq cm (d) 96 sq cm

Answer key

  1. 119 sq cm
  2. 12 cm
  3. 50 cm
  4. 25 sq cm
  5. 14 sq cm
  6. 2 cm
  7. 52 cm
  8. 36 cm
  9. 10 cm
  10. 180 sq cm
  11. 169 sq cm
  12. 49 sq cm
  13. 45 sq cm
  14. 10 cm
  15. 3 cm
  16. 44 sq cm
  17. 8 cm
  18. 3 cm
  19. 30 cm
  20. 44 cm
  21. 28 sq cm
  22. 12 sq cm
  23. 40 sq cm
  24. 100 sq cm
  25. 120 sq cm
  26. 36 sq cm
  27. 12 cm
  28. 11 cm
  29. 6 cm
  30. 44 cm
  31. 6 cm
  32. 75 sq cm
  33. 4 cm
  34. 18 sq cm
  35. 24 cm
  36. 24 sq cm
  37. 121 sq cm
  38. 225 sq cm
  39. 42 cm
  40. 96 sq cm

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