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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 96 · 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 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 10 cm (c) 136 cm (d) 9 cm
  2. 2.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 29 cm (c) 34 cm (d) 17 cm
  3. 3.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
  4. 4.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  5. 5.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 27 sq cm (b) 160 sq cm (c) 54 sq cm (d) 140 sq cm
  6. 6.A rectangle is 15 cm long and 3 cm wide. What is its perimeter? (a) 45 cm (b) 18 cm (c) 33 cm (d) 36 cm
  7. 7.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its width? (a) 3 cm (b) 4 cm (c) 12 cm (d) 6 cm
  8. 8.A rectangle is 16 cm long and 8 cm wide. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 128 sq cm
  9. 9.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its width? (a) 91 cm (b) 9 cm (c) 16 cm (d) 8 cm
  10. 10.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 62 sq cm (c) 220 sq cm (d) 31 sq cm
  11. 11.A rectangle is 8 cm long and 7 cm wide. What is its area? (a) 15 sq cm (b) 56 sq cm (c) 64 sq cm (d) 30 sq cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 24 sq cm (d) 169 sq cm
  13. 13.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 12 sq cm (c) 49 sq cm (d) 36 sq cm
  14. 14.A rectangle is 18 cm long and 10 cm wide. What is its perimeter? (a) 46 cm (b) 180 cm (c) 28 cm (d) 56 cm
  15. 15.A square has a perimeter of 40 cm. What is its area? (a) 40 sq cm (b) 100 sq cm (c) 121 sq cm (d) 20 sq cm
  16. 16.A rectangle is 20 cm long and 9 cm wide. What is its perimeter? (a) 49 cm (b) 58 cm (c) 29 cm (d) 180 cm
  17. 17.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 160 sq cm (c) 56 sq cm (d) 28 sq cm
  18. 18.A rectangle is 17 cm long and 5 cm wide. What is its area? (a) 102 sq cm (b) 44 sq cm (c) 85 sq cm (d) 22 sq cm
  19. 19.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 119 sq cm (b) 23 sq cm (c) 46 sq cm (d) 102 sq cm
  20. 20.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 80 cm (b) 24 cm (c) 44 cm (d) 48 cm
  21. 21.A rectangle is 17 cm long and 8 cm wide. What is its perimeter? (a) 42 cm (b) 50 cm (c) 25 cm (d) 136 cm
  22. 22.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 24 sq cm (b) 42 sq cm (c) 35 sq cm (d) 12 sq cm
  23. 23.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 20 sq cm (c) 40 sq cm (d) 104 sq cm
  24. 24.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  25. 25.A rectangle has an area of 40 sq cm and a length of 20 cm. What is its width? (a) 3 cm (b) 4 cm (c) 2 cm (d) 20 cm
  26. 26.A rectangle is 19 cm long and 9 cm wide. What is its perimeter? (a) 28 cm (b) 56 cm (c) 47 cm (d) 171 cm
  27. 27.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 9 cm (b) 88 cm (c) 10 cm (d) 18 cm
  28. 28.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 52 sq cm (b) 120 sq cm (c) 26 sq cm (d) 140 sq cm
  29. 29.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 21 cm (b) 4 cm (c) 5 cm (d) 8 cm
  30. 30.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 153 cm
  31. 31.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 12 sq cm (d) 18 sq cm
  32. 32.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 114 cm (c) 50 cm (d) 25 cm
  33. 33.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 10 cm (c) 20 cm (d) 117 cm
  34. 34.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
  35. 35.A rectangle is 18 cm long and 7 cm wide. What is its perimeter? (a) 126 cm (b) 43 cm (c) 25 cm (d) 50 cm
  36. 36.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 56 sq cm (c) 28 sq cm (d) 196 sq cm
  37. 37.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 32 sq cm (d) 40 sq cm
  38. 38.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 16 cm (b) 3 cm (c) 4 cm (d) 6 cm
  39. 39.A rectangle is 7 cm long and 2 cm wide. What is its perimeter? (a) 14 cm (b) 9 cm (c) 16 cm (d) 18 cm
  40. 40.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 17 cm (b) 72 cm (c) 26 cm (d) 34 cm

Answer key

  1. 9 cm
  2. 34 cm
  3. 169 sq cm
  4. 225 sq cm
  5. 140 sq cm
  6. 36 cm
  7. 3 cm
  8. 128 sq cm
  9. 8 cm
  10. 220 sq cm
  11. 56 sq cm
  12. 144 sq cm
  13. 36 sq cm
  14. 56 cm
  15. 100 sq cm
  16. 58 cm
  17. 160 sq cm
  18. 85 sq cm
  19. 102 sq cm
  20. 48 cm
  21. 50 cm
  22. 35 sq cm
  23. 91 sq cm
  24. 25 sq cm
  25. 2 cm
  26. 56 cm
  27. 9 cm
  28. 120 sq cm
  29. 4 cm
  30. 10 cm
  31. 12 sq cm
  32. 50 cm
  33. 10 cm
  34. 49 sq cm
  35. 50 cm
  36. 196 sq cm
  37. 32 sq cm
  38. 3 cm
  39. 18 cm
  40. 34 cm

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