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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 950 · 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 12 cm long and 4 cm wide. What is its perimeter? (a) 16 cm (b) 28 cm (c) 48 cm (d) 32 cm
  2. 2.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  4. 4.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 35 cm (b) 7 cm (c) 12 cm (d) 6 cm
  5. 5.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 32 sq cm (d) 64 sq cm
  6. 6.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 51 cm (b) 31 cm (c) 62 cm (d) 220 cm
  7. 7.A square has a perimeter of 36 cm. What is its area? (a) 81 sq cm (b) 100 sq cm (c) 36 sq cm (d) 18 sq cm
  8. 8.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
  9. 9.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  10. 10.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  11. 11.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 27 sq cm (c) 171 sq cm (d) 152 sq cm
  12. 12.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its width? (a) 24 cm (b) 6 cm (c) 3 cm (d) 4 cm
  13. 13.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 60 cm
  14. 14.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 10 cm (b) 108 cm (c) 20 cm (d) 11 cm
  15. 15.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 36 sq cm (d) 25 sq cm
  16. 16.A rectangle is 20 cm long and 12 cm wide. What is its area? (a) 64 sq cm (b) 240 sq cm (c) 260 sq cm (d) 32 sq cm
  17. 17.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 29 cm (c) 32 cm (d) 39 cm
  18. 18.A rectangle is 11 cm long and 9 cm wide. What is its perimeter? (a) 40 cm (b) 99 cm (c) 20 cm (d) 31 cm
  19. 19.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 23 sq cm (c) 140 sq cm (d) 46 sq cm
  20. 20.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 40 sq cm (b) 32 sq cm (c) 24 sq cm (d) 12 sq cm
  21. 21.A rectangle is 15 cm long and 9 cm wide. What is its perimeter? (a) 24 cm (b) 135 cm (c) 48 cm (d) 39 cm
  22. 22.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 33 cm (b) 14 cm (c) 28 cm (d) 25 cm
  23. 23.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 21 sq cm (d) 28 sq cm
  24. 24.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 18 cm (c) 15 cm (d) 9 cm
  25. 25.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 120 cm (c) 9 cm (d) 18 cm
  26. 26.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its width? (a) 4 cm (b) 5 cm (c) 8 cm (d) 18 cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 10 cm (b) 160 cm (c) 9 cm (d) 18 cm
  28. 28.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 18 cm (b) 9 cm (c) 80 cm (d) 10 cm
  29. 29.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its width? (a) 187 cm (b) 24 cm (c) 12 cm (d) 13 cm
  30. 30.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 30 cm (d) 15 cm
  31. 31.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 64 sq cm (c) 28 sq cm (d) 14 sq cm
  32. 32.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 20 sq cm (d) 16 sq cm
  33. 33.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 48 sq cm (d) 24 sq cm
  34. 34.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 18 cm (b) 10 cm (c) 128 cm (d) 9 cm
  35. 35.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 13 cm (c) 12 cm (d) 143 cm
  36. 36.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 40 cm
  37. 37.A rectangle is 10 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 13 cm (d) 26 cm
  38. 38.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 190 cm
  39. 39.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 36 cm (b) 15 cm (c) 30 cm (d) 27 cm
  40. 40.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 150 cm (b) 25 cm (c) 40 cm (d) 50 cm

Answer key

  1. 32 cm
  2. 32 sq cm
  3. 18 cm
  4. 6 cm
  5. 64 sq cm
  6. 62 cm
  7. 81 sq cm
  8. 14 sq cm
  9. 169 sq cm
  10. 225 sq cm
  11. 152 sq cm
  12. 3 cm
  13. 4 cm
  14. 10 cm
  15. 25 sq cm
  16. 240 sq cm
  17. 32 cm
  18. 40 cm
  19. 126 sq cm
  20. 32 sq cm
  21. 48 cm
  22. 28 cm
  23. 21 sq cm
  24. 18 cm
  25. 9 cm
  26. 4 cm
  27. 9 cm
  28. 9 cm
  29. 12 cm
  30. 30 cm
  31. 49 sq cm
  32. 16 sq cm
  33. 144 sq cm
  34. 9 cm
  35. 12 cm
  36. 28 cm
  37. 26 cm
  38. 11 cm
  39. 30 cm
  40. 50 cm

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