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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 928 · 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 8 cm long and 7 cm wide. What is its perimeter? (a) 15 cm (b) 30 cm (c) 23 cm (d) 56 cm
  2. 2.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 28 cm (b) 80 cm (c) 18 cm (d) 36 cm
  3. 3.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 40 cm (b) 72 cm (c) 44 cm (d) 22 cm
  4. 4.A rectangle is 20 cm long and 9 cm wide. What is its area? (a) 29 sq cm (b) 200 sq cm (c) 180 sq cm (d) 58 sq cm
  5. 5.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 49 sq cm (d) 64 sq cm
  6. 6.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its width? (a) 6 cm (b) 65 cm (c) 12 cm (d) 7 cm
  7. 7.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 28 sq cm (c) 56 sq cm (d) 196 sq cm
  8. 8.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 36 sq cm (c) 12 sq cm (d) 49 sq cm
  9. 9.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 18 cm (d) 19 cm
  10. 10.A rectangle is 18 cm long and 6 cm wide. What is its area? (a) 108 sq cm (b) 48 sq cm (c) 126 sq cm (d) 24 sq cm
  11. 11.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 19 cm (d) 84 cm
  12. 12.A rectangle is 8 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 20 cm (c) 12 cm (d) 24 cm
  13. 13.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 4 cm (c) 27 cm (d) 5 cm
  14. 14.A rectangle is 19 cm long and 8 cm wide. What is its area? (a) 54 sq cm (b) 152 sq cm (c) 171 sq cm (d) 27 sq cm
  15. 15.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 40 cm
  16. 16.A rectangle is 17 cm long and 8 cm wide. What is its area? (a) 153 sq cm (b) 25 sq cm (c) 50 sq cm (d) 136 sq cm
  17. 17.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 12 cm (c) 170 cm (d) 11 cm
  18. 18.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 128 cm (b) 9 cm (c) 10 cm (d) 18 cm
  19. 19.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 35 cm
  20. 20.A rectangle is 20 cm long and 10 cm wide. What is its perimeter? (a) 30 cm (b) 200 cm (c) 50 cm (d) 60 cm
  21. 21.A rectangle is 19 cm long and 7 cm wide. What is its area? (a) 52 sq cm (b) 133 sq cm (c) 152 sq cm (d) 26 sq cm
  22. 22.A rectangle is 19 cm long and 6 cm wide. What is its area? (a) 50 sq cm (b) 114 sq cm (c) 133 sq cm (d) 25 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 121 sq cm (b) 20 sq cm (c) 100 sq cm (d) 40 sq cm
  24. 24.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  25. 25.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 1 cm (c) 4 cm (d) 2 cm
  26. 26.A rectangle is 14 cm long and 3 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 56 sq cm (d) 42 sq cm
  27. 27.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 16 cm (b) 55 cm (c) 27 cm (d) 32 cm
  28. 28.A rectangle is 13 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 15 cm (c) 28 cm (d) 30 cm
  29. 29.A rectangle has an area of 98 sq cm and a length of 14 cm. What is its width? (a) 14 cm (b) 84 cm (c) 7 cm (d) 8 cm
  30. 30.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 10 cm (c) 20 cm (d) 11 cm
  31. 31.A rectangle is 16 cm long and 11 cm wide. What is its area? (a) 176 sq cm (b) 54 sq cm (c) 27 sq cm (d) 192 sq cm
  32. 32.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 22 sq cm (b) 130 sq cm (c) 44 sq cm (d) 117 sq cm
  33. 33.A rectangle is 16 cm long and 10 cm wide. What is its perimeter? (a) 26 cm (b) 42 cm (c) 52 cm (d) 160 cm
  34. 34.A rectangle is 15 cm long and 5 cm wide. What is its area? (a) 90 sq cm (b) 75 sq cm (c) 40 sq cm (d) 20 sq cm
  35. 35.A rectangle is 8 cm long and 6 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 48 sq cm (d) 56 sq cm
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 99 cm
  37. 37.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 10 cm (b) 4 cm (c) 6 cm (d) 3 cm
  38. 38.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 10 cm (c) 20 cm (d) 21 cm
  39. 39.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 14 cm (b) 7 cm (c) 54 cm (d) 8 cm
  40. 40.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 143 sq cm (c) 48 sq cm (d) 156 sq cm

Answer key

  1. 30 cm
  2. 36 cm
  3. 44 cm
  4. 180 sq cm
  5. 49 sq cm
  6. 6 cm
  7. 196 sq cm
  8. 36 sq cm
  9. 18 cm
  10. 108 sq cm
  11. 38 cm
  12. 24 cm
  13. 4 cm
  14. 152 sq cm
  15. 6 cm
  16. 136 sq cm
  17. 11 cm
  18. 9 cm
  19. 6 cm
  20. 60 cm
  21. 133 sq cm
  22. 114 sq cm
  23. 100 sq cm
  24. 121 sq cm
  25. 2 cm
  26. 42 sq cm
  27. 32 cm
  28. 30 cm
  29. 7 cm
  30. 10 cm
  31. 176 sq cm
  32. 117 sq cm
  33. 52 cm
  34. 75 sq cm
  35. 48 sq cm
  36. 10 cm
  37. 3 cm
  38. 20 cm
  39. 7 cm
  40. 143 sq cm

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