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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 270 · 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 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 30 cm (c) 28 cm (d) 15 cm
  2. 2.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 46 sq cm (b) 140 sq cm (c) 23 sq cm (d) 126 sq cm
  3. 3.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 14 cm (b) 114 cm (c) 7 cm (d) 8 cm
  4. 4.A rectangle is 16 cm long and 6 cm wide. What is its perimeter? (a) 96 cm (b) 22 cm (c) 44 cm (d) 38 cm
  5. 5.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 60 cm (b) 48 cm (c) 216 cm (d) 30 cm
  6. 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 220 cm (b) 24 cm (c) 12 cm (d) 13 cm
  7. 7.A rectangle is 18 cm long and 2 cm wide. What is its area? (a) 54 sq cm (b) 36 sq cm (c) 40 sq cm (d) 20 sq cm
  8. 8.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
  9. 9.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 42 cm (d) 31 cm
  10. 10.A square has a perimeter of 20 cm. What is its area? (a) 25 sq cm (b) 10 sq cm (c) 36 sq cm (d) 20 sq cm
  11. 11.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 10 sq cm (b) 28 sq cm (c) 20 sq cm (d) 21 sq cm
  12. 12.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 56 sq cm (b) 34 sq cm (c) 42 sq cm (d) 17 sq cm
  13. 13.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 24 cm (d) 48 cm
  14. 14.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 80 cm (d) 36 cm
  15. 15.A rectangle is 19 cm long and 2 cm wide. What is its perimeter? (a) 40 cm (b) 21 cm (c) 42 cm (d) 38 cm
  16. 16.A rectangle is 13 cm long and 6 cm wide. What is its perimeter? (a) 78 cm (b) 38 cm (c) 19 cm (d) 32 cm
  17. 17.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 64 sq cm (b) 15 sq cm (c) 56 sq cm (d) 30 sq cm
  18. 18.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 16 cm (b) 32 cm (c) 63 cm (d) 25 cm
  19. 19.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
  20. 20.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 40 cm (b) 26 cm (c) 13 cm (d) 21 cm
  21. 21.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  22. 22.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
  23. 23.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 12 sq cm (c) 49 sq cm (d) 24 sq cm
  24. 24.A rectangle has an area of 51 sq cm and a length of 17 cm. What is its width? (a) 4 cm (b) 3 cm (c) 34 cm (d) 6 cm
  25. 25.A rectangle is 14 cm long and 5 cm wide. What is its perimeter? (a) 70 cm (b) 33 cm (c) 19 cm (d) 38 cm
  26. 26.A rectangle has an area of 64 sq cm and a length of 16 cm. What is its width? (a) 48 cm (b) 4 cm (c) 8 cm (d) 5 cm
  27. 27.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 25 sq cm (d) 133 sq cm
  28. 28.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its width? (a) 200 cm (b) 11 cm (c) 12 cm (d) 22 cm
  29. 29.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 56 sq cm (b) 180 sq cm (c) 160 sq cm (d) 28 sq cm
  30. 30.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 104 sq cm (b) 91 sq cm (c) 20 sq cm (d) 40 sq cm
  31. 31.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  32. 32.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 80 cm (c) 37 cm (d) 42 cm
  33. 33.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
  34. 34.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 25 cm (c) 45 cm (d) 50 cm
  35. 35.A rectangle is 19 cm long and 11 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 228 sq cm (d) 209 sq cm
  36. 36.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 4 cm (c) 6 cm (d) 3 cm
  37. 37.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
  38. 38.A rectangle is 15 cm long and 7 cm wide. What is its area? (a) 120 sq cm (b) 44 sq cm (c) 105 sq cm (d) 22 sq cm
  39. 39.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 25 cm (b) 44 cm (c) 114 cm (d) 50 cm
  40. 40.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 21 cm (c) 4 cm (d) 5 cm

Answer key

  1. 30 cm
  2. 126 sq cm
  3. 7 cm
  4. 44 cm
  5. 60 cm
  6. 12 cm
  7. 36 sq cm
  8. 22 cm
  9. 34 cm
  10. 25 sq cm
  11. 21 sq cm
  12. 42 sq cm
  13. 48 cm
  14. 36 cm
  15. 42 cm
  16. 38 cm
  17. 56 sq cm
  18. 32 cm
  19. 144 sq cm
  20. 26 cm
  21. 49 sq cm
  22. 196 sq cm
  23. 36 sq cm
  24. 3 cm
  25. 38 cm
  26. 4 cm
  27. 114 sq cm
  28. 11 cm
  29. 160 sq cm
  30. 91 sq cm
  31. 121 sq cm
  32. 42 cm
  33. 28 cm
  34. 50 cm
  35. 209 sq cm
  36. 3 cm
  37. 2 cm
  38. 105 sq cm
  39. 50 cm
  40. 4 cm

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