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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 374 · 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 6 cm wide. What is its area? (a) 54 sq cm (b) 30 sq cm (c) 63 sq cm (d) 15 sq cm
  2. 2.A rectangle is 17 cm long and 10 cm wide. What is its area? (a) 170 sq cm (b) 27 sq cm (c) 187 sq cm (d) 54 sq cm
  3. 3.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 10 cm (c) 18 cm (d) 9 cm
  4. 4.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 21 sq cm (b) 20 sq cm (c) 28 sq cm (d) 10 sq cm
  5. 5.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 11 cm (b) 17 cm (c) 22 cm (d) 30 cm
  6. 6.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 128 sq cm
  7. 7.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 30 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  8. 8.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 10 cm (b) 6 cm (c) 40 cm (d) 5 cm
  9. 9.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 13 cm (c) 26 cm (d) 24 cm
  10. 10.A rectangle has an area of 57 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 38 cm (c) 3 cm (d) 6 cm
  11. 11.A rectangle has an area of 102 sq cm and a length of 17 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 85 cm
  12. 12.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 26 sq cm (c) 52 sq cm (d) 169 sq cm
  13. 13.A rectangle is 12 cm long and 10 cm wide. What is its perimeter? (a) 34 cm (b) 44 cm (c) 120 cm (d) 22 cm
  14. 14.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
  15. 15.A rectangle is 16 cm long and 3 cm wide. What is its area? (a) 64 sq cm (b) 19 sq cm (c) 48 sq cm (d) 38 sq cm
  16. 16.A square has a perimeter of 28 cm. What is its area? (a) 49 sq cm (b) 28 sq cm (c) 14 sq cm (d) 64 sq cm
  17. 17.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its width? (a) 114 cm (b) 7 cm (c) 14 cm (d) 8 cm
  18. 18.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 121 sq cm (c) 20 sq cm (d) 100 sq cm
  19. 19.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 57 cm (b) 5 cm (c) 4 cm (d) 8 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 256 sq cm (b) 30 sq cm (c) 225 sq cm (d) 60 sq cm
  21. 21.A rectangle is 18 cm long and 9 cm wide. What is its area? (a) 180 sq cm (b) 27 sq cm (c) 162 sq cm (d) 54 sq cm
  22. 22.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 12 cm (c) 11 cm (d) 140 cm
  23. 23.A rectangle is 20 cm long and 4 cm wide. What is its area? (a) 48 sq cm (b) 80 sq cm (c) 24 sq cm (d) 100 sq cm
  24. 24.A rectangle is 18 cm long and 7 cm wide. What is its area? (a) 144 sq cm (b) 50 sq cm (c) 126 sq cm (d) 25 sq cm
  25. 25.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 72 sq cm (b) 44 sq cm (c) 90 sq cm (d) 22 sq cm
  26. 26.A rectangle is 14 cm long and 4 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 70 sq cm (d) 56 sq cm
  27. 27.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 36 sq cm (c) 10 sq cm (d) 25 sq cm
  28. 28.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 21 cm (c) 12 cm (d) 24 cm
  29. 29.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 80 cm (b) 18 cm (c) 9 cm (d) 10 cm
  30. 30.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 6 cm (b) 4 cm (c) 12 cm (d) 3 cm
  31. 31.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 6 cm (b) 12 cm (c) 7 cm (d) 100 cm
  32. 32.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 56 sq cm (c) 225 sq cm (d) 196 sq cm
  33. 33.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 9 cm (b) 136 cm (c) 18 cm (d) 10 cm
  34. 34.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 144 sq cm (c) 48 sq cm (d) 169 sq cm
  35. 35.A rectangle is 20 cm long and 11 cm wide. What is its perimeter? (a) 62 cm (b) 51 cm (c) 31 cm (d) 220 cm
  36. 36.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
  37. 37.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 117 sq cm (b) 130 sq cm (c) 44 sq cm (d) 22 sq cm
  38. 38.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 8 sq cm (c) 12 sq cm (d) 16 sq cm
  39. 39.A rectangle is 11 cm long and 8 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 88 sq cm (d) 99 sq cm
  40. 40.A rectangle is 20 cm long and 3 cm wide. What is its perimeter? (a) 23 cm (b) 43 cm (c) 60 cm (d) 46 cm

Answer key

  1. 54 sq cm
  2. 170 sq cm
  3. 9 cm
  4. 21 sq cm
  5. 22 cm
  6. 128 sq cm
  7. 24 sq cm
  8. 5 cm
  9. 26 cm
  10. 3 cm
  11. 6 cm
  12. 169 sq cm
  13. 44 cm
  14. 36 sq cm
  15. 48 sq cm
  16. 49 sq cm
  17. 7 cm
  18. 100 sq cm
  19. 4 cm
  20. 225 sq cm
  21. 162 sq cm
  22. 11 cm
  23. 80 sq cm
  24. 126 sq cm
  25. 72 sq cm
  26. 56 sq cm
  27. 25 sq cm
  28. 24 cm
  29. 9 cm
  30. 3 cm
  31. 6 cm
  32. 196 sq cm
  33. 9 cm
  34. 144 sq cm
  35. 62 cm
  36. 12 cm
  37. 117 sq cm
  38. 12 sq cm
  39. 88 sq cm
  40. 46 cm

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