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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 696 · 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 192 sq cm and a length of 16 cm. What is its width? (a) 24 cm (b) 176 cm (c) 13 cm (d) 12 cm
  2. 2.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 60 cm (c) 4 cm (d) 8 cm
  3. 3.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 21 cm (c) 40 cm (d) 38 cm
  4. 4.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 28 cm (d) 26 cm
  5. 5.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
  6. 6.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 31 cm (d) 65 cm
  7. 7.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 76 cm (b) 5 cm (c) 6 cm (d) 10 cm
  8. 8.A rectangle has an area of 60 sq cm and a length of 20 cm. What is its width? (a) 4 cm (b) 3 cm (c) 40 cm (d) 6 cm
  9. 9.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 8 cm (c) 5 cm (d) 42 cm
  10. 10.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 21 sq cm (b) 18 sq cm (c) 9 sq cm (d) 14 sq cm
  11. 11.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 256 sq cm (d) 225 sq cm
  12. 12.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 70 sq cm (c) 60 sq cm (d) 16 sq cm
  13. 13.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 28 cm
  14. 14.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 60 cm (b) 12 cm (c) 6 cm (d) 7 cm
  15. 15.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 64 sq cm (d) 49 sq cm
  16. 16.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 33 cm (c) 38 cm (d) 70 cm
  17. 17.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 56 sq cm (c) 190 sq cm (d) 28 sq cm
  18. 18.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 20 sq cm (c) 30 sq cm (d) 12 sq cm
  19. 19.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 24 sq cm (c) 144 sq cm (d) 48 sq cm
  20. 20.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 12 cm (b) 7 cm (c) 65 cm (d) 6 cm
  21. 21.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 168 sq cm (c) 50 sq cm (d) 25 sq cm
  22. 22.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 5 cm (b) 21 cm (c) 8 cm (d) 4 cm
  23. 23.A rectangle is 8 cm long and 6 cm wide. What is its perimeter? (a) 14 cm (b) 48 cm (c) 22 cm (d) 28 cm
  24. 24.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 50 cm (b) 42 cm (c) 136 cm (d) 25 cm
  25. 25.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 24 sq cm (d) 12 sq cm
  26. 26.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 32 sq cm (c) 16 sq cm (d) 48 sq cm
  27. 27.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 44 cm (b) 56 cm (c) 28 cm (d) 192 cm
  28. 28.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
  29. 29.A rectangle has an area of 100 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 5 cm (c) 80 cm (d) 10 cm
  30. 30.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 11 sq cm (b) 24 sq cm (c) 22 sq cm (d) 32 sq cm
  31. 31.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 18 cm (c) 144 cm (d) 9 cm
  32. 32.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 32 cm (d) 29 cm
  33. 33.A rectangle is 17 cm long and 2 cm wide. What is its perimeter? (a) 38 cm (b) 19 cm (c) 34 cm (d) 36 cm
  34. 34.A rectangle is 17 cm long and 4 cm wide. What is its perimeter? (a) 42 cm (b) 38 cm (c) 21 cm (d) 68 cm
  35. 35.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 40 sq cm (c) 75 sq cm (d) 20 sq cm
  36. 36.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 10 cm (b) 16 cm (c) 18 cm (d) 20 cm
  37. 37.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 28 sq cm (d) 35 sq cm
  38. 38.A rectangle is 11 cm long and 9 cm wide. What is its area? (a) 20 sq cm (b) 110 sq cm (c) 40 sq cm (d) 99 sq cm
  39. 39.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 4 cm (c) 8 cm (d) 57 cm
  40. 40.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 50 sq cm (d) 15 sq cm

Answer key

  1. 12 cm
  2. 4 cm
  3. 42 cm
  4. 30 cm
  5. 18 cm
  6. 36 cm
  7. 5 cm
  8. 3 cm
  9. 4 cm
  10. 14 sq cm
  11. 225 sq cm
  12. 60 sq cm
  13. 3 cm
  14. 6 cm
  15. 49 sq cm
  16. 38 cm
  17. 171 sq cm
  18. 20 sq cm
  19. 144 sq cm
  20. 6 cm
  21. 154 sq cm
  22. 4 cm
  23. 28 cm
  24. 50 cm
  25. 36 sq cm
  26. 48 sq cm
  27. 56 cm
  28. 81 sq cm
  29. 5 cm
  30. 24 sq cm
  31. 9 cm
  32. 32 cm
  33. 38 cm
  34. 42 cm
  35. 75 sq cm
  36. 20 cm
  37. 28 sq cm
  38. 99 sq cm
  39. 4 cm
  40. 50 sq cm

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