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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 952 · 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 42 sq cm and a length of 7 cm. What is its width? (a) 6 cm (b) 7 cm (c) 12 cm (d) 35 cm
  2. 2.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 27 cm (b) 176 cm (c) 43 cm (d) 54 cm
  3. 3.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 16 cm (c) 32 cm (d) 63 cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 28 sq cm (b) 21 sq cm (c) 10 sq cm (d) 20 sq cm
  5. 5.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its width? (a) 7 cm (b) 90 cm (c) 12 cm (d) 6 cm
  6. 6.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 121 sq cm (c) 20 sq cm (d) 40 sq cm
  7. 7.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 10 cm
  8. 8.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 30 sq cm (c) 10 sq cm (d) 20 sq cm
  9. 9.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  10. 10.A rectangle is 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 130 sq cm (c) 23 sq cm (d) 46 sq cm
  11. 11.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 169 sq cm (c) 52 sq cm (d) 196 sq cm
  12. 12.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 34 cm (c) 29 cm (d) 60 cm
  13. 13.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 84 sq cm (c) 96 sq cm (d) 19 sq cm
  14. 14.A rectangle is 12 cm long and 3 cm wide. What is its perimeter? (a) 15 cm (b) 27 cm (c) 36 cm (d) 30 cm
  15. 15.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 16 sq cm (b) 63 sq cm (c) 32 sq cm (d) 72 sq cm
  16. 16.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  17. 17.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 20 cm (d) 26 cm
  18. 18.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 160 sq cm (c) 144 sq cm (d) 50 sq cm
  19. 19.A rectangle is 12 cm long and 4 cm wide. What is its perimeter? (a) 32 cm (b) 28 cm (c) 16 cm (d) 48 cm
  20. 20.A rectangle has an area of 56 sq cm and a length of 14 cm. What is its width? (a) 8 cm (b) 42 cm (c) 5 cm (d) 4 cm
  21. 21.A rectangle is 14 cm long and 4 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 32 cm (d) 56 cm
  22. 22.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 10 cm (c) 9 cm (d) 18 cm
  23. 23.A rectangle is 12 cm long and 11 cm wide. What is its area? (a) 144 sq cm (b) 46 sq cm (c) 132 sq cm (d) 23 sq cm
  24. 24.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 13 sq cm (b) 42 sq cm (c) 26 sq cm (d) 49 sq cm
  25. 25.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 30 sq cm (d) 15 sq cm
  26. 26.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 28 sq cm (d) 40 sq cm
  27. 27.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 24 cm (c) 165 cm (d) 12 cm
  28. 28.A rectangle is 16 cm long and 4 cm wide. What is its area? (a) 64 sq cm (b) 80 sq cm (c) 40 sq cm (d) 20 sq cm
  29. 29.A rectangle is 10 cm long and 9 cm wide. What is its area? (a) 90 sq cm (b) 38 sq cm (c) 100 sq cm (d) 19 sq cm
  30. 30.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
  31. 31.A rectangle has an area of 168 sq cm and a length of 14 cm. What is its width? (a) 24 cm (b) 12 cm (c) 13 cm (d) 154 cm
  32. 32.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 10 cm (c) 9 cm (d) 104 cm
  33. 33.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 228 sq cm (c) 62 sq cm (d) 31 sq cm
  34. 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 190 cm (c) 12 cm (d) 22 cm
  35. 35.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 196 sq cm (d) 28 sq cm
  36. 36.A rectangle is 10 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 50 sq cm (c) 60 sq cm (d) 15 sq cm
  37. 37.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 18 cm (b) 2 cm (c) 3 cm (d) 4 cm
  38. 38.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 2 cm (b) 3 cm (c) 4 cm (d) 15 cm
  39. 39.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 18 sq cm (c) 9 sq cm (d) 21 sq cm
  40. 40.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 26 cm (b) 22 cm (c) 13 cm (d) 36 cm

Answer key

  1. 6 cm
  2. 54 cm
  3. 32 cm
  4. 21 sq cm
  5. 6 cm
  6. 100 sq cm
  7. 3 cm
  8. 24 sq cm
  9. 36 sq cm
  10. 130 sq cm
  11. 169 sq cm
  12. 34 cm
  13. 84 sq cm
  14. 30 cm
  15. 63 sq cm
  16. 121 sq cm
  17. 26 cm
  18. 144 sq cm
  19. 32 cm
  20. 4 cm
  21. 36 cm
  22. 9 cm
  23. 132 sq cm
  24. 42 sq cm
  25. 26 sq cm
  26. 40 sq cm
  27. 12 cm
  28. 64 sq cm
  29. 90 sq cm
  30. 30 sq cm
  31. 12 cm
  32. 9 cm
  33. 228 sq cm
  34. 11 cm
  35. 196 sq cm
  36. 50 sq cm
  37. 2 cm
  38. 2 cm
  39. 14 sq cm
  40. 26 cm

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