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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 521 · 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 13 cm long and 10 cm wide. What is its area? (a) 143 sq cm (b) 46 sq cm (c) 23 sq cm (d) 130 sq cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 121 sq cm (b) 22 sq cm (c) 44 sq cm (d) 144 sq cm
  3. 3.A rectangle has an area of 112 sq cm and a length of 14 cm. What is its width? (a) 16 cm (b) 9 cm (c) 98 cm (d) 8 cm
  4. 4.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 28 sq cm (c) 14 sq cm (d) 49 sq cm
  5. 5.A rectangle is 17 cm long and 12 cm wide. What is its area? (a) 58 sq cm (b) 221 sq cm (c) 204 sq cm (d) 29 sq cm
  6. 6.A rectangle has an area of 120 sq cm and a length of 12 cm. What is its width? (a) 20 cm (b) 108 cm (c) 10 cm (d) 11 cm
  7. 7.A rectangle has an area of 80 sq cm and a length of 20 cm. What is its width? (a) 60 cm (b) 4 cm (c) 8 cm (d) 5 cm
  8. 8.A rectangle is 9 cm long and 7 cm wide. What is its perimeter? (a) 25 cm (b) 32 cm (c) 16 cm (d) 63 cm
  9. 9.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 38 sq cm (b) 19 sq cm (c) 70 sq cm (d) 84 sq cm
  10. 10.A rectangle is 9 cm long and 5 cm wide. What is its perimeter? (a) 23 cm (b) 45 cm (c) 14 cm (d) 28 cm
  11. 11.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 38 cm (b) 34 cm (c) 19 cm (d) 60 cm
  12. 12.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 58 sq cm (c) 209 sq cm (d) 190 sq cm
  13. 13.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 54 cm (b) 8 cm (c) 5 cm (d) 4 cm
  14. 14.A rectangle is 10 cm long and 9 cm wide. What is its perimeter? (a) 19 cm (b) 90 cm (c) 29 cm (d) 38 cm
  15. 15.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 38 sq cm (b) 96 sq cm (c) 19 sq cm (d) 84 sq cm
  16. 16.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 11 cm (c) 20 cm (d) 144 cm
  17. 17.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 40 sq cm (d) 28 sq cm
  18. 18.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its width? (a) 60 cm (b) 10 cm (c) 5 cm (d) 6 cm
  19. 19.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 1 cm (b) 2 cm (c) 4 cm (d) 3 cm
  20. 20.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 170 cm
  21. 21.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its width? (a) 105 cm (b) 8 cm (c) 16 cm (d) 9 cm
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 169 sq cm (b) 48 sq cm (c) 144 sq cm (d) 24 sq cm
  23. 23.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 18 sq cm (c) 8 sq cm (d) 16 sq cm
  24. 24.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 55 sq cm (b) 66 sq cm (c) 32 sq cm (d) 16 sq cm
  25. 25.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 100 sq cm (c) 121 sq cm (d) 40 sq cm
  26. 26.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its width? (a) 5 cm (b) 76 cm (c) 6 cm (d) 10 cm
  27. 27.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 10 cm (c) 6 cm (d) 48 cm
  28. 28.A rectangle is 11 cm long and 5 cm wide. What is its perimeter? (a) 27 cm (b) 32 cm (c) 16 cm (d) 55 cm
  29. 29.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 11 sq cm (b) 35 sq cm (c) 28 sq cm (d) 22 sq cm
  30. 30.A square has a perimeter of 56 cm. What is its area? (a) 28 sq cm (b) 225 sq cm (c) 196 sq cm (d) 56 sq cm
  31. 31.A rectangle is 18 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 24 cm (c) 48 cm (d) 108 cm
  32. 32.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
  33. 33.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 27 cm (d) 54 cm
  34. 34.A rectangle is 11 cm long and 4 cm wide. What is its perimeter? (a) 15 cm (b) 44 cm (c) 30 cm (d) 26 cm
  35. 35.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 7 cm (c) 14 cm (d) 60 cm
  36. 36.A rectangle is 12 cm long and 7 cm wide. What is its perimeter? (a) 38 cm (b) 31 cm (c) 84 cm (d) 19 cm
  37. 37.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 81 sq cm (d) 64 sq cm
  38. 38.A rectangle is 15 cm long and 10 cm wide. What is its perimeter? (a) 50 cm (b) 40 cm (c) 25 cm (d) 150 cm
  39. 39.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 126 cm (b) 8 cm (c) 16 cm (d) 9 cm
  40. 40.A rectangle has an area of 117 sq cm and a length of 13 cm. What is its width? (a) 18 cm (b) 9 cm (c) 104 cm (d) 10 cm

Answer key

  1. 130 sq cm
  2. 121 sq cm
  3. 8 cm
  4. 49 sq cm
  5. 204 sq cm
  6. 10 cm
  7. 4 cm
  8. 32 cm
  9. 70 sq cm
  10. 28 cm
  11. 38 cm
  12. 190 sq cm
  13. 4 cm
  14. 38 cm
  15. 84 sq cm
  16. 10 cm
  17. 40 sq cm
  18. 5 cm
  19. 2 cm
  20. 11 cm
  21. 8 cm
  22. 144 sq cm
  23. 12 sq cm
  24. 55 sq cm
  25. 100 sq cm
  26. 5 cm
  27. 5 cm
  28. 32 cm
  29. 28 sq cm
  30. 196 sq cm
  31. 48 cm
  32. 36 sq cm
  33. 54 cm
  34. 30 cm
  35. 7 cm
  36. 38 cm
  37. 64 sq cm
  38. 50 cm
  39. 8 cm
  40. 9 cm

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