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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 356 · 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 9 cm long and 5 cm wide. What is its area? (a) 14 sq cm (b) 28 sq cm (c) 54 sq cm (d) 45 sq cm
  2. 2.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 190 sq cm (c) 29 sq cm (d) 209 sq cm
  3. 3.A rectangle has an area of 12 sq cm and a length of 6 cm. What is its width? (a) 2 cm (b) 6 cm (c) 3 cm (d) 4 cm
  4. 4.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 36 sq cm (d) 10 sq cm
  5. 5.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
  6. 6.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 36 sq cm (c) 24 sq cm (d) 49 sq cm
  7. 7.A rectangle is 18 cm long and 3 cm wide. What is its area? (a) 42 sq cm (b) 72 sq cm (c) 21 sq cm (d) 54 sq cm
  8. 8.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 66 sq cm (b) 16 sq cm (c) 55 sq cm (d) 32 sq cm
  9. 9.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 220 sq cm (b) 62 sq cm (c) 240 sq cm (d) 31 sq cm
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 17 cm (b) 30 cm (c) 11 cm (d) 22 cm
  11. 11.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) 5 cm (d) 27 cm
  12. 12.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 18 cm (c) 28 cm (d) 22 cm
  13. 13.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 9 cm (c) 10 cm (d) 18 cm
  14. 14.A rectangle is 20 cm long and 5 cm wide. What is its perimeter? (a) 100 cm (b) 45 cm (c) 25 cm (d) 50 cm
  15. 15.A rectangle is 6 cm long and 3 cm wide. What is its area? (a) 19 sq cm (b) 18 sq cm (c) 9 sq cm (d) 24 sq cm
  16. 16.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 50 sq cm (b) 25 sq cm (c) 168 sq cm (d) 154 sq cm
  17. 17.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 247 sq cm (b) 31 sq cm (c) 228 sq cm (d) 62 sq cm
  18. 18.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 10 cm (c) 76 cm (d) 6 cm
  19. 19.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 30 sq cm (d) 24 sq cm
  20. 20.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 15 cm (c) 19 cm (d) 18 cm
  21. 21.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its width? (a) 13 cm (b) 12 cm (c) 24 cm (d) 165 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 24 sq cm (d) 144 sq cm
  23. 23.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 44 sq cm (b) 85 sq cm (c) 22 sq cm (d) 102 sq cm
  24. 24.A rectangle is 15 cm long and 11 cm wide. What is its area? (a) 26 sq cm (b) 180 sq cm (c) 52 sq cm (d) 165 sq cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 14 sq cm (c) 64 sq cm (d) 28 sq cm
  26. 26.A square has a perimeter of 52 cm. What is its area? (a) 52 sq cm (b) 169 sq cm (c) 196 sq cm (d) 26 sq cm
  27. 27.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 13 cm (b) 12 cm (c) 209 cm (d) 24 cm
  28. 28.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 21 cm (d) 13 cm
  29. 29.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 126 sq cm (b) 23 sq cm (c) 46 sq cm (d) 140 sq cm
  30. 30.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 32 cm (d) 30 cm
  31. 31.A rectangle is 14 cm long and 11 cm wide. What is its perimeter? (a) 154 cm (b) 39 cm (c) 50 cm (d) 25 cm
  32. 32.A square has a perimeter of 36 cm. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 81 sq cm (d) 100 sq cm
  33. 33.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 225 sq cm (c) 56 sq cm (d) 28 sq cm
  34. 34.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 54 cm (b) 170 cm (c) 27 cm (d) 44 cm
  35. 35.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 16 cm (b) 119 cm (c) 9 cm (d) 8 cm
  36. 36.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 10 cm (b) 135 cm (c) 11 cm (d) 20 cm
  37. 37.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 35 sq cm (b) 42 sq cm (c) 12 sq cm (d) 24 sq cm
  38. 38.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its width? (a) 39 cm (b) 8 cm (c) 5 cm (d) 4 cm
  39. 39.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 104 sq cm (c) 42 sq cm (d) 21 sq cm
  40. 40.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 60 sq cm (c) 30 sq cm (d) 225 sq cm

Answer key

  1. 45 sq cm
  2. 190 sq cm
  3. 2 cm
  4. 25 sq cm
  5. 10 cm
  6. 36 sq cm
  7. 54 sq cm
  8. 55 sq cm
  9. 220 sq cm
  10. 22 cm
  11. 4 cm
  12. 22 cm
  13. 9 cm
  14. 50 cm
  15. 18 sq cm
  16. 154 sq cm
  17. 228 sq cm
  18. 5 cm
  19. 24 sq cm
  20. 18 cm
  21. 12 cm
  22. 144 sq cm
  23. 85 sq cm
  24. 165 sq cm
  25. 49 sq cm
  26. 169 sq cm
  27. 12 cm
  28. 26 cm
  29. 126 sq cm
  30. 34 cm
  31. 50 cm
  32. 81 sq cm
  33. 196 sq cm
  34. 54 cm
  35. 8 cm
  36. 10 cm
  37. 35 sq cm
  38. 4 cm
  39. 104 sq cm
  40. 225 sq cm

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