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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 683 · 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) 24 sq cm (b) 19 sq cm (c) 9 sq cm (d) 18 sq cm
  2. 2.A rectangle has an area of 45 sq cm and a length of 15 cm. What is its width? (a) 30 cm (b) 4 cm (c) 3 cm (d) 6 cm
  3. 3.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 16 sq cm (b) 70 sq cm (c) 60 sq cm (d) 32 sq cm
  4. 4.A rectangle is 17 cm long and 7 cm wide. What is its area? (a) 136 sq cm (b) 48 sq cm (c) 119 sq cm (d) 24 sq cm
  5. 5.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 44 sq cm (c) 144 sq cm (d) 22 sq cm
  6. 6.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 121 sq cm (d) 110 sq cm
  7. 7.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 220 sq cm (b) 200 sq cm (c) 60 sq cm (d) 30 sq cm
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  9. 9.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 16 cm (c) 9 cm (d) 8 cm
  10. 10.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  11. 11.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 140 cm (b) 47 cm (c) 27 cm (d) 54 cm
  12. 12.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its width? (a) 36 cm (b) 8 cm (c) 5 cm (d) 4 cm
  13. 13.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 2 cm (c) 6 cm (d) 4 cm
  14. 14.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 10 cm (b) 6 cm (c) 5 cm (d) 76 cm
  15. 15.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 108 sq cm (b) 21 sq cm (c) 120 sq cm (d) 42 sq cm
  16. 16.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 15 cm (d) 18 cm
  17. 17.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 108 cm (c) 8 cm (d) 14 cm
  18. 18.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
  19. 19.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 16 sq cm (c) 10 sq cm (d) 24 sq cm
  20. 20.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 40 sq cm (d) 121 sq cm
  21. 21.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 24 cm (c) 20 cm (d) 22 cm
  22. 22.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 52 cm (b) 44 cm (c) 144 cm (d) 26 cm
  23. 23.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 56 cm (c) 36 cm (d) 18 cm
  24. 24.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 165 cm (d) 24 cm
  25. 25.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 85 sq cm (b) 22 sq cm (c) 102 sq cm (d) 44 sq cm
  26. 26.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 153 cm (c) 20 cm (d) 11 cm
  27. 27.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 22 cm (c) 11 cm (d) 12 cm
  28. 28.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 154 cm (b) 12 cm (c) 13 cm (d) 24 cm
  29. 29.A rectangle is 18 cm long and 9 cm wide. What is its perimeter? (a) 54 cm (b) 27 cm (c) 45 cm (d) 162 cm
  30. 30.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 4 cm (c) 24 cm (d) 5 cm
  31. 31.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  32. 32.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 24 sq cm (d) 49 sq cm
  33. 33.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 22 cm (c) 11 cm (d) 12 cm
  34. 34.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 96 sq cm (d) 80 sq cm
  35. 35.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 51 sq cm (d) 68 sq cm
  36. 36.A rectangle is 13 cm long and 4 cm wide. What is its area? (a) 52 sq cm (b) 34 sq cm (c) 65 sq cm (d) 17 sq cm
  37. 37.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 50 cm (b) 30 cm (c) 25 cm (d) 15 cm
  38. 38.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 32 sq cm (c) 24 sq cm (d) 22 sq cm
  39. 39.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its width? (a) 22 cm (b) 4 cm (c) 6 cm (d) 3 cm
  40. 40.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

Answer key

  1. 18 sq cm
  2. 3 cm
  3. 60 sq cm
  4. 119 sq cm
  5. 121 sq cm
  6. 110 sq cm
  7. 200 sq cm
  8. 49 sq cm
  9. 8 cm
  10. 196 sq cm
  11. 54 cm
  12. 4 cm
  13. 2 cm
  14. 5 cm
  15. 108 sq cm
  16. 18 cm
  17. 7 cm
  18. 2 cm
  19. 16 sq cm
  20. 100 sq cm
  21. 24 cm
  22. 52 cm
  23. 36 cm
  24. 12 cm
  25. 85 sq cm
  26. 10 cm
  27. 11 cm
  28. 12 cm
  29. 54 cm
  30. 4 cm
  31. 144 sq cm
  32. 36 sq cm
  33. 11 cm
  34. 80 sq cm
  35. 51 sq cm
  36. 52 sq cm
  37. 30 cm
  38. 24 sq cm
  39. 3 cm
  40. 9 cm

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