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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 168 · 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 has an area of 14 sq cm and a length of 7 cm. What is its width? (a) 3 cm (b) 4 cm (c) 7 cm (d) 2 cm
  2. 2.A rectangle is 17 cm long and 9 cm wide. What is its perimeter? (a) 153 cm (b) 26 cm (c) 52 cm (d) 43 cm
  3. 3.A rectangle is 13 cm long and 5 cm wide. What is its area? (a) 65 sq cm (b) 18 sq cm (c) 78 sq cm (d) 36 sq cm
  4. 4.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 38 cm (d) 30 cm
  5. 5.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 28 cm (c) 45 cm (d) 14 cm
  6. 6.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 8 cm (b) 4 cm (c) 57 cm (d) 5 cm
  7. 7.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  8. 8.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 143 sq cm (b) 24 sq cm (c) 48 sq cm (d) 156 sq cm
  9. 9.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 80 cm (b) 6 cm (c) 10 cm (d) 5 cm
  10. 10.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its width? (a) 162 cm (b) 10 cm (c) 20 cm (d) 11 cm
  11. 11.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 21 cm (c) 42 cm (d) 98 cm
  12. 12.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 84 cm (b) 7 cm (c) 14 cm (d) 8 cm
  13. 13.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 121 sq cm (d) 100 sq cm
  14. 14.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 196 sq cm (d) 225 sq cm
  15. 15.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 10 cm (c) 3 cm (d) 2 cm
  16. 16.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 32 sq cm (b) 63 sq cm (c) 16 sq cm (d) 72 sq cm
  17. 17.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 10 sq cm (c) 20 sq cm (d) 28 sq cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 24 sq cm (d) 144 sq cm
  19. 19.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 81 sq cm (c) 32 sq cm (d) 64 sq cm
  20. 20.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 54 sq cm (b) 180 sq cm (c) 27 sq cm (d) 195 sq cm
  21. 21.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 10 cm (b) 6 cm (c) 36 cm (d) 5 cm
  22. 22.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 12 cm (b) 3 cm (c) 4 cm (d) 6 cm
  23. 23.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 22 sq cm (d) 44 sq cm
  24. 24.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 11 cm (d) 12 cm
  25. 25.A rectangle is 10 cm long and 7 cm wide. What is its area? (a) 34 sq cm (b) 17 sq cm (c) 80 sq cm (d) 70 sq cm
  26. 26.A rectangle is 12 cm long and 6 cm wide. What is its area? (a) 18 sq cm (b) 84 sq cm (c) 72 sq cm (d) 36 sq cm
  27. 27.A rectangle is 14 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 30 cm (c) 28 cm (d) 32 cm
  28. 28.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 22 sq cm (d) 28 sq cm
  29. 29.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 36 sq cm (d) 81 sq cm
  30. 30.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 14 sq cm (b) 50 sq cm (c) 40 sq cm (d) 28 sq cm
  31. 31.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 16 cm (c) 63 cm (d) 8 cm
  32. 32.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 11 cm (c) 150 cm (d) 22 cm
  33. 33.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 42 cm (d) 20 cm
  34. 34.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 40 cm (b) 6 cm (c) 3 cm (d) 4 cm
  35. 35.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 11 cm (b) 10 cm (c) 180 cm (d) 20 cm
  36. 36.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its width? (a) 108 cm (b) 8 cm (c) 14 cm (d) 7 cm
  37. 37.A rectangle is 10 cm long and 2 cm wide. What is its perimeter? (a) 20 cm (b) 24 cm (c) 12 cm (d) 22 cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 8 cm (b) 12 cm (c) 16 cm (d) 14 cm
  39. 39.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 27 sq cm (b) 22 sq cm (c) 18 sq cm (d) 11 sq cm
  40. 40.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 20 cm (b) 31 cm (c) 99 cm (d) 40 cm

Answer key

  1. 2 cm
  2. 52 cm
  3. 65 sq cm
  4. 38 cm
  5. 28 cm
  6. 4 cm
  7. 49 sq cm
  8. 143 sq cm
  9. 5 cm
  10. 10 cm
  11. 42 cm
  12. 7 cm
  13. 100 sq cm
  14. 196 sq cm
  15. 2 cm
  16. 63 sq cm
  17. 21 sq cm
  18. 144 sq cm
  19. 64 sq cm
  20. 180 sq cm
  21. 5 cm
  22. 3 cm
  23. 121 sq cm
  24. 11 cm
  25. 70 sq cm
  26. 72 sq cm
  27. 32 cm
  28. 28 sq cm
  29. 81 sq cm
  30. 40 sq cm
  31. 8 cm
  32. 11 cm
  33. 26 cm
  34. 3 cm
  35. 10 cm
  36. 7 cm
  37. 24 cm
  38. 16 cm
  39. 18 sq cm
  40. 40 cm

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