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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 198 · 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 7 cm long and 2 cm wide. What is its area? (a) 9 sq cm (b) 18 sq cm (c) 14 sq cm (d) 21 sq cm
  2. 2.A rectangle is 11 cm long and 6 cm wide. What is its area? (a) 77 sq cm (b) 34 sq cm (c) 66 sq cm (d) 17 sq cm
  3. 3.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm
  4. 4.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 112 sq cm (c) 44 sq cm (d) 22 sq cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 30 cm (b) 17 cm (c) 22 cm (d) 11 cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  7. 7.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  8. 8.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 13 sq cm (b) 36 sq cm (c) 26 sq cm (d) 45 sq cm
  9. 9.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 20 cm (b) 12 cm (c) 32 cm (d) 24 cm
  10. 10.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 16 cm (c) 8 cm (d) 14 cm
  11. 11.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its width? (a) 30 cm (b) 5 cm (c) 8 cm (d) 4 cm
  12. 12.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 27 cm (c) 47 cm (d) 54 cm
  13. 13.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 60 cm (c) 34 cm (d) 38 cm
  14. 14.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 19 cm (d) 24 cm
  15. 15.A rectangle is 9 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 24 sq cm (c) 27 sq cm (d) 12 sq cm
  16. 16.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 11 cm
  17. 17.A rectangle is 13 cm long and 10 cm wide. What is its perimeter? (a) 23 cm (b) 36 cm (c) 130 cm (d) 46 cm
  18. 18.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 152 sq cm (b) 26 sq cm (c) 52 sq cm (d) 133 sq cm
  19. 19.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
  20. 20.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 54 sq cm (b) 187 sq cm (c) 170 sq cm (d) 27 sq cm
  21. 21.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its width? (a) 6 cm (b) 5 cm (c) 10 cm (d) 68 cm
  22. 22.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  23. 23.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 46 sq cm (c) 60 sq cm (d) 23 sq cm
  24. 24.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 56 sq cm (b) 28 sq cm (c) 190 sq cm (d) 171 sq cm
  25. 25.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 49 sq cm (c) 26 sq cm (d) 13 sq cm
  26. 26.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 52 cm (c) 5 cm (d) 10 cm
  27. 27.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 38 cm (b) 6 cm (c) 4 cm (d) 3 cm
  28. 28.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 119 cm (c) 24 cm (d) 48 cm
  29. 29.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  31. 31.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 24 sq cm (c) 140 sq cm (d) 48 sq cm
  32. 32.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its width? (a) 5 cm (b) 8 cm (c) 45 cm (d) 4 cm
  33. 33.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 50 sq cm (b) 30 sq cm (c) 15 sq cm (d) 60 sq cm
  34. 34.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 14 cm (c) 8 cm (d) 54 cm
  35. 35.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 42 cm (b) 35 cm (c) 98 cm (d) 21 cm
  36. 36.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 32 sq cm (c) 40 sq cm (d) 12 sq cm
  37. 37.A rectangle is 19 cm long and 10 cm wide. What is its perimeter? (a) 58 cm (b) 190 cm (c) 48 cm (d) 29 cm
  38. 38.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 9 cm (c) 160 cm (d) 10 cm
  39. 39.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 48 sq cm
  40. 40.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 9 cm (b) 14 cm (c) 16 cm (d) 18 cm

Answer key

  1. 14 sq cm
  2. 66 sq cm
  3. 28 sq cm
  4. 112 sq cm
  5. 22 cm
  6. 100 sq cm
  7. 25 sq cm
  8. 36 sq cm
  9. 24 cm
  10. 16 cm
  11. 4 cm
  12. 54 cm
  13. 38 cm
  14. 22 cm
  15. 27 sq cm
  16. 2 cm
  17. 46 cm
  18. 133 sq cm
  19. 11 cm
  20. 170 sq cm
  21. 5 cm
  22. 196 sq cm
  23. 60 sq cm
  24. 171 sq cm
  25. 42 sq cm
  26. 5 cm
  27. 3 cm
  28. 48 cm
  29. 144 sq cm
  30. 36 sq cm
  31. 140 sq cm
  32. 4 cm
  33. 50 sq cm
  34. 7 cm
  35. 42 cm
  36. 32 sq cm
  37. 58 cm
  38. 9 cm
  39. 48 sq cm
  40. 18 cm

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