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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 938 · 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 12 cm wide. What is its perimeter? (a) 50 cm (b) 25 cm (c) 38 cm (d) 156 cm
  2. 2.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 18 cm (b) 136 cm (c) 9 cm (d) 10 cm
  3. 3.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 22 cm (b) 11 cm (c) 160 cm (d) 12 cm
  4. 4.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 21 cm (b) 35 cm (c) 98 cm (d) 42 cm
  5. 5.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 144 sq cm (d) 169 sq cm
  6. 6.A rectangle is 17 cm long and 11 cm wide. What is its perimeter? (a) 187 cm (b) 45 cm (c) 28 cm (d) 56 cm
  7. 7.A rectangle is 19 cm long and 3 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 57 cm (d) 41 cm
  8. 8.A rectangle is 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 180 sq cm (d) 54 sq cm
  9. 9.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 16 cm (d) 10 cm
  10. 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 6 cm (b) 3 cm (c) 4 cm (d) 20 cm
  11. 11.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 29 sq cm (b) 190 sq cm (c) 58 sq cm (d) 209 sq cm
  12. 12.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 22 sq cm (b) 13 sq cm (c) 26 sq cm (d) 33 sq cm
  13. 13.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its width? (a) 8 cm (b) 4 cm (c) 21 cm (d) 5 cm
  14. 14.A rectangle is 6 cm long and 4 cm wide. What is its perimeter? (a) 10 cm (b) 24 cm (c) 20 cm (d) 16 cm
  15. 15.A rectangle is 11 cm long and 5 cm wide. What is its area? (a) 16 sq cm (b) 55 sq cm (c) 66 sq cm (d) 32 sq cm
  16. 16.A rectangle is 14 cm long and 9 cm wide. What is its perimeter? (a) 37 cm (b) 46 cm (c) 126 cm (d) 23 cm
  17. 17.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 42 cm (b) 180 cm (c) 54 cm (d) 27 cm
  18. 18.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 14 sq cm (d) 49 sq cm
  19. 19.A rectangle is 14 cm long and 5 cm wide. What is its area? (a) 84 sq cm (b) 70 sq cm (c) 19 sq cm (d) 38 sq cm
  20. 20.A rectangle has an area of 60 sq cm and a length of 12 cm. What is its width? (a) 5 cm (b) 48 cm (c) 10 cm (d) 6 cm
  21. 21.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 28 cm (b) 18 cm (c) 22 cm (d) 11 cm
  22. 22.A square has a perimeter of 60 cm. What is its area? (a) 60 sq cm (b) 256 sq cm (c) 30 sq cm (d) 225 sq cm
  23. 23.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 30 cm (c) 11 cm (d) 17 cm
  24. 24.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its width? (a) 120 cm (b) 12 cm (c) 22 cm (d) 11 cm
  25. 25.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 4 cm (c) 3 cm (d) 2 cm
  26. 26.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 18 sq cm (d) 16 sq cm
  27. 27.A rectangle has an area of 90 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 6 cm (c) 72 cm (d) 5 cm
  28. 28.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 22 sq cm (c) 121 sq cm (d) 44 sq cm
  29. 29.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 52 sq cm (c) 26 sq cm (d) 169 sq cm
  30. 30.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 12 cm (c) 190 cm (d) 11 cm
  31. 31.A rectangle is 10 cm long and 6 cm wide. What is its area? (a) 70 sq cm (b) 60 sq cm (c) 32 sq cm (d) 16 sq cm
  32. 32.A rectangle is 16 cm long and 9 cm wide. What is its perimeter? (a) 25 cm (b) 50 cm (c) 144 cm (d) 41 cm
  33. 33.A rectangle is 15 cm long and 4 cm wide. What is its perimeter? (a) 19 cm (b) 34 cm (c) 60 cm (d) 38 cm
  34. 34.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 25 cm (b) 33 cm (c) 14 cm (d) 28 cm
  35. 35.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 15 sq cm (b) 63 sq cm (c) 30 sq cm (d) 54 sq cm
  36. 36.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 26 sq cm (b) 42 sq cm (c) 13 sq cm (d) 49 sq cm
  37. 37.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 7 cm (c) 8 cm (d) 14 cm
  38. 38.A rectangle is 15 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 18 sq cm (c) 60 sq cm (d) 45 sq cm
  39. 39.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 21 sq cm (b) 42 sq cm (c) 104 sq cm (d) 117 sq cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its area? (a) 22 sq cm (b) 11 sq cm (c) 32 sq cm (d) 24 sq cm

Answer key

  1. 50 cm
  2. 9 cm
  3. 11 cm
  4. 42 cm
  5. 144 sq cm
  6. 56 cm
  7. 44 cm
  8. 180 sq cm
  9. 20 cm
  10. 3 cm
  11. 190 sq cm
  12. 22 sq cm
  13. 4 cm
  14. 20 cm
  15. 55 sq cm
  16. 46 cm
  17. 54 cm
  18. 49 sq cm
  19. 70 sq cm
  20. 5 cm
  21. 22 cm
  22. 225 sq cm
  23. 22 cm
  24. 11 cm
  25. 2 cm
  26. 12 sq cm
  27. 5 cm
  28. 121 sq cm
  29. 169 sq cm
  30. 11 cm
  31. 60 sq cm
  32. 50 cm
  33. 38 cm
  34. 28 cm
  35. 54 sq cm
  36. 42 sq cm
  37. 7 cm
  38. 45 sq cm
  39. 104 sq cm
  40. 24 sq cm

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