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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 572 · 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 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 24 sq cm (c) 9 sq cm (d) 18 sq cm
  2. 2.A rectangle is 17 cm long and 9 cm wide. What is its area? (a) 52 sq cm (b) 153 sq cm (c) 26 sq cm (d) 170 sq cm
  3. 3.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
  4. 4.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 42 sq cm (b) 117 sq cm (c) 104 sq cm (d) 21 sq cm
  5. 5.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) 24 cm (d) 12 cm
  6. 6.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 58 sq cm (b) 200 sq cm (c) 180 sq cm (d) 29 sq cm
  7. 7.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 50 cm (b) 43 cm (c) 25 cm (d) 126 cm
  8. 8.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 12 sq cm (c) 24 sq cm (d) 42 sq cm
  9. 9.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  10. 10.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 72 sq cm (d) 63 sq cm
  11. 11.A rectangle has an area of 28 sq cm and a length of 14 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 14 cm
  12. 12.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 84 cm (d) 19 cm
  13. 13.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 34 sq cm (b) 65 sq cm (c) 52 sq cm (d) 17 sq cm
  14. 14.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 196 sq cm (c) 169 sq cm (d) 52 sq cm
  15. 15.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 8 cm (b) 4 cm (c) 5 cm (d) 39 cm
  16. 16.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 20 sq cm (c) 91 sq cm (d) 40 sq cm
  17. 17.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 24 cm
  18. 18.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 24 cm (c) 20 cm (d) 10 cm
  19. 19.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 21 sq cm (d) 20 sq cm
  20. 20.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 15 cm (b) 3 cm (c) 4 cm (d) 2 cm
  21. 21.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 30 sq cm (c) 22 sq cm (d) 36 sq cm
  22. 22.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 12 cm (b) 6 cm (c) 7 cm (d) 45 cm
  23. 23.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
  24. 24.A rectangle is 20 cm long and 8 cm wide. What is its perimeter? (a) 48 cm (b) 28 cm (c) 56 cm (d) 160 cm
  25. 25.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  26. 26.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 56 cm (c) 10 cm (d) 5 cm
  27. 27.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 36 sq cm (d) 100 sq cm
  28. 28.A rectangle is 9 cm long and 6 cm wide. What is its perimeter? (a) 15 cm (b) 24 cm (c) 30 cm (d) 54 cm
  29. 29.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
  30. 30.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 10 sq cm (d) 30 sq cm
  31. 31.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 22 sq cm (d) 112 sq cm
  32. 32.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
  33. 33.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 30 cm (c) 22 cm (d) 17 cm
  34. 34.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 84 sq cm (b) 38 sq cm (c) 19 sq cm (d) 96 sq cm
  35. 35.A rectangle has an area of 88 sq cm and a length of 11 cm. What is its width? (a) 77 cm (b) 16 cm (c) 9 cm (d) 8 cm
  36. 36.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 36 cm (b) 38 cm (c) 34 cm (d) 19 cm
  37. 37.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 29 cm (c) 32 cm (d) 16 cm
  38. 38.A rectangle is 18 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 36 cm (d) 38 cm
  39. 39.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 28 sq cm (c) 14 sq cm (d) 54 sq cm
  40. 40.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 168 sq cm (b) 25 sq cm (c) 50 sq cm (d) 154 sq cm

Answer key

  1. 18 sq cm
  2. 153 sq cm
  3. 36 sq cm
  4. 104 sq cm
  5. 12 cm
  6. 180 sq cm
  7. 50 cm
  8. 35 sq cm
  9. 25 sq cm
  10. 63 sq cm
  11. 2 cm
  12. 38 cm
  13. 52 sq cm
  14. 169 sq cm
  15. 4 cm
  16. 91 sq cm
  17. 26 cm
  18. 20 cm
  19. 21 sq cm
  20. 2 cm
  21. 30 sq cm
  22. 6 cm
  23. 121 sq cm
  24. 56 cm
  25. 48 sq cm
  26. 5 cm
  27. 81 sq cm
  28. 30 cm
  29. 49 sq cm
  30. 24 sq cm
  31. 112 sq cm
  32. 18 cm
  33. 22 cm
  34. 84 sq cm
  35. 8 cm
  36. 38 cm
  37. 32 cm
  38. 40 cm
  39. 45 sq cm
  40. 154 sq cm

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