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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 146 · 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 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 15 sq cm (c) 50 sq cm (d) 60 sq cm
  2. 2.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 13 sq cm (c) 49 sq cm (d) 42 sq cm
  3. 3.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 21 sq cm (c) 9 sq cm (d) 18 sq cm
  4. 4.A rectangle has an area of 16 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 2 cm (c) 4 cm (d) 3 cm
  5. 5.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 72 sq cm (d) 63 sq cm
  6. 6.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
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  8. 8.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 12 cm (b) 6 cm (c) 75 cm (d) 7 cm
  9. 9.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 128 sq cm (d) 144 sq cm
  10. 10.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 209 cm (b) 12 cm (c) 13 cm (d) 24 cm
  11. 11.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 40 cm (c) 14 cm (d) 28 cm
  12. 12.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 190 cm (c) 11 cm (d) 22 cm
  13. 13.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
  14. 14.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 20 cm (c) 11 cm (d) 10 cm
  15. 15.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
  16. 16.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 22 cm (c) 12 cm (d) 140 cm
  17. 17.A rectangle is 11 cm long and 10 cm wide. What is its perimeter? (a) 32 cm (b) 21 cm (c) 110 cm (d) 42 cm
  18. 18.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 19 cm (b) 24 cm (c) 22 cm (d) 11 cm
  19. 19.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 29 cm (b) 90 cm (c) 38 cm (d) 19 cm
  20. 20.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 68 sq cm (d) 51 sq cm
  21. 21.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 56 sq cm (c) 34 sq cm (d) 42 sq cm
  22. 22.A rectangle has an area of 26 sq cm and a length of 13 cm. What is its width? (a) 13 cm (b) 3 cm (c) 2 cm (d) 4 cm
  23. 23.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 52 sq cm (d) 39 sq cm
  24. 24.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 76 sq cm (c) 95 sq cm (d) 46 sq cm
  25. 25.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 46 cm (b) 126 cm (c) 37 cm (d) 23 cm
  26. 26.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 132 sq cm (b) 23 sq cm (c) 144 sq cm (d) 46 sq cm
  27. 27.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 41 cm (b) 50 cm (c) 25 cm (d) 144 cm
  28. 28.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 63 cm (d) 32 cm
  29. 29.A rectangle is 9 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 27 sq cm (c) 22 sq cm (d) 11 sq cm
  30. 30.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 36 sq cm (d) 49 sq cm
  31. 31.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 27 cm (c) 21 cm (d) 12 cm
  32. 32.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 144 cm (b) 10 cm (c) 9 cm (d) 18 cm
  33. 33.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 10 sq cm (c) 25 sq cm (d) 36 sq cm
  34. 34.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 64 sq cm (c) 30 sq cm (d) 56 sq cm
  35. 35.A rectangle is 13 cm long and 12 cm wide. What is its perimeter? (a) 25 cm (b) 156 cm (c) 50 cm (d) 38 cm
  36. 36.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 54 sq cm (c) 63 sq cm (d) 30 sq cm
  37. 37.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 56 sq cm (b) 14 sq cm (c) 48 sq cm (d) 28 sq cm
  38. 38.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 26 cm (d) 52 cm
  39. 39.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 32 sq cm (b) 60 sq cm (c) 16 sq cm (d) 70 sq cm
  40. 40.A rectangle is 17 cm long and 7 cm wide. What is its perimeter? (a) 41 cm (b) 48 cm (c) 24 cm (d) 119 cm

Answer key

  1. 50 sq cm
  2. 42 sq cm
  3. 14 sq cm
  4. 2 cm
  5. 63 sq cm
  6. 81 sq cm
  7. 196 sq cm
  8. 6 cm
  9. 128 sq cm
  10. 12 cm
  11. 28 cm
  12. 11 cm
  13. 121 sq cm
  14. 10 cm
  15. 5 cm
  16. 11 cm
  17. 42 cm
  18. 22 cm
  19. 38 cm
  20. 51 sq cm
  21. 42 sq cm
  22. 2 cm
  23. 39 sq cm
  24. 76 sq cm
  25. 46 cm
  26. 132 sq cm
  27. 50 cm
  28. 32 cm
  29. 18 sq cm
  30. 36 sq cm
  31. 24 cm
  32. 9 cm
  33. 25 sq cm
  34. 56 sq cm
  35. 50 cm
  36. 54 sq cm
  37. 48 sq cm
  38. 52 cm
  39. 60 sq cm
  40. 48 cm

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