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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 141 · 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 square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  2. 2.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
  3. 3.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 42 sq cm (b) 35 sq cm (c) 24 sq cm (d) 12 sq cm
  4. 4.A rectangle is 8 cm long and 7 cm wide. What is its perimeter? (a) 23 cm (b) 30 cm (c) 56 cm (d) 15 cm
  5. 5.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 11 cm (c) 22 cm (d) 18 cm
  6. 6.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 28 sq cm (d) 49 sq cm
  7. 7.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
  8. 8.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
  9. 9.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 30 cm (c) 88 cm (d) 38 cm
  10. 10.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 228 sq cm (c) 31 sq cm (d) 247 sq cm
  11. 11.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 30 sq cm (b) 63 sq cm (c) 54 sq cm (d) 15 sq cm
  12. 12.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its width? (a) 32 cm (b) 6 cm (c) 4 cm (d) 3 cm
  13. 13.A rectangle is 16 cm long and 10 cm wide. What is its area? (a) 176 sq cm (b) 160 sq cm (c) 52 sq cm (d) 26 sq cm
  14. 14.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 19 sq cm (b) 99 sq cm (c) 88 sq cm (d) 38 sq cm
  15. 15.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 3 cm (c) 12 cm (d) 4 cm
  16. 16.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 49 sq cm (d) 24 sq cm
  17. 17.A rectangle is 18 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 52 sq cm (c) 162 sq cm (d) 26 sq cm
  18. 18.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 9 sq cm (b) 24 sq cm (c) 19 sq cm (d) 18 sq cm
  19. 19.A rectangle has an area of 156 sq cm and a length of 13 cm. What is its width? (a) 24 cm (b) 143 cm (c) 13 cm (d) 12 cm
  20. 20.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 4 cm (c) 3 cm (d) 2 cm
  21. 21.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 48 sq cm (b) 156 sq cm (c) 24 sq cm (d) 143 sq cm
  22. 22.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 32 sq cm (b) 22 sq cm (c) 11 sq cm (d) 24 sq cm
  23. 23.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 90 sq cm (b) 36 sq cm (c) 18 sq cm (d) 80 sq cm
  24. 24.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 7 cm (c) 12 cm (d) 6 cm
  25. 25.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its width? (a) 8 cm (b) 33 cm (c) 5 cm (d) 4 cm
  26. 26.A rectangle is 10 cm long and 8 cm wide. What is its perimeter? (a) 80 cm (b) 18 cm (c) 28 cm (d) 36 cm
  27. 27.A rectangle is 16 cm long and 8 cm wide. What is its perimeter? (a) 128 cm (b) 40 cm (c) 48 cm (d) 24 cm
  28. 28.A rectangle is 15 cm long and 11 cm wide. What is its perimeter? (a) 52 cm (b) 26 cm (c) 165 cm (d) 41 cm
  29. 29.A rectangle is 6 cm long and 2 cm wide. What is its perimeter? (a) 12 cm (b) 14 cm (c) 16 cm (d) 8 cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 144 sq cm (d) 44 sq cm
  31. 31.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 42 cm (b) 22 cm (c) 44 cm (d) 40 cm
  32. 32.A rectangle is 12 cm long and 4 cm wide. What is its area? (a) 16 sq cm (b) 48 sq cm (c) 32 sq cm (d) 60 sq cm
  33. 33.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 41 cm (b) 44 cm (c) 57 cm (d) 22 cm
  34. 34.A rectangle has an area of 171 sq cm and a length of 19 cm. What is its width? (a) 18 cm (b) 10 cm (c) 152 cm (d) 9 cm
  35. 35.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 198 cm
  36. 36.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 196 sq cm (c) 169 sq cm (d) 26 sq cm
  37. 37.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 100 sq cm (d) 121 sq cm
  38. 38.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 37 cm (b) 42 cm (c) 21 cm (d) 80 cm
  39. 39.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 17 cm (b) 27 cm (c) 70 cm (d) 34 cm
  40. 40.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 10 cm (b) 20 cm (c) 11 cm (d) 117 cm

Answer key

  1. 144 sq cm
  2. 32 cm
  3. 35 sq cm
  4. 30 cm
  5. 22 cm
  6. 49 sq cm
  7. 10 cm
  8. 3 cm
  9. 38 cm
  10. 228 sq cm
  11. 54 sq cm
  12. 3 cm
  13. 160 sq cm
  14. 88 sq cm
  15. 3 cm
  16. 36 sq cm
  17. 144 sq cm
  18. 18 sq cm
  19. 12 cm
  20. 2 cm
  21. 143 sq cm
  22. 24 sq cm
  23. 80 sq cm
  24. 6 cm
  25. 4 cm
  26. 36 cm
  27. 48 cm
  28. 52 cm
  29. 16 cm
  30. 121 sq cm
  31. 44 cm
  32. 48 sq cm
  33. 44 cm
  34. 9 cm
  35. 12 cm
  36. 169 sq cm
  37. 100 sq cm
  38. 42 cm
  39. 34 cm
  40. 10 cm

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