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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 935 · 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 square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 196 sq cm (c) 225 sq cm (d) 28 sq cm
  2. 2.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 36 sq cm (d) 12 sq cm
  3. 3.A rectangle is 15 cm long and 2 cm wide. What is its area? (a) 17 sq cm (b) 34 sq cm (c) 30 sq cm (d) 45 sq cm
  4. 4.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 44 sq cm (c) 22 sq cm (d) 121 sq cm
  5. 5.A rectangle is 20 cm long and 7 cm wide. What is its perimeter? (a) 47 cm (b) 140 cm (c) 27 cm (d) 54 cm
  6. 6.A rectangle is 11 cm long and 2 cm wide. What is its area? (a) 33 sq cm (b) 13 sq cm (c) 22 sq cm (d) 26 sq cm
  7. 7.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 16 cm (c) 70 cm (d) 8 cm
  8. 8.A rectangle is 6 cm long and 3 cm wide. What is its perimeter? (a) 9 cm (b) 19 cm (c) 18 cm (d) 15 cm
  9. 9.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 35 sq cm (d) 42 sq cm
  10. 10.A rectangle is 6 cm long and 5 cm wide. What is its perimeter? (a) 22 cm (b) 17 cm (c) 11 cm (d) 30 cm
  11. 11.A rectangle is 19 cm long and 2 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 57 sq cm (d) 38 sq cm
  12. 12.A rectangle has an area of 228 sq cm and a length of 19 cm. What is its width? (a) 12 cm (b) 24 cm (c) 209 cm (d) 13 cm
  13. 13.A rectangle has an area of 180 sq cm and a length of 20 cm. What is its width? (a) 18 cm (b) 160 cm (c) 9 cm (d) 10 cm
  14. 14.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its width? (a) 24 cm (b) 5 cm (c) 4 cm (d) 8 cm
  15. 15.A rectangle has an area of 187 sq cm and a length of 17 cm. What is its width? (a) 11 cm (b) 12 cm (c) 22 cm (d) 170 cm
  16. 16.A square has a perimeter of 40 cm. What is its area? (a) 100 sq cm (b) 20 sq cm (c) 40 sq cm (d) 121 sq cm
  17. 17.A rectangle is 7 cm long and 5 cm wide. What is its perimeter? (a) 19 cm (b) 35 cm (c) 24 cm (d) 12 cm
  18. 18.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 16 cm (b) 18 cm (c) 10 cm (d) 20 cm
  19. 19.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its width? (a) 5 cm (b) 6 cm (c) 40 cm (d) 10 cm
  20. 20.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 256 sq cm (c) 60 sq cm (d) 225 sq cm
  21. 21.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
  22. 22.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 24 sq cm (c) 48 sq cm (d) 169 sq cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 20 sq cm (b) 30 sq cm (c) 10 sq cm (d) 24 sq cm
  24. 24.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 3 cm (b) 4 cm (c) 11 cm (d) 2 cm
  25. 25.A rectangle is 14 cm long and 10 cm wide. What is its area? (a) 154 sq cm (b) 48 sq cm (c) 140 sq cm (d) 24 sq cm
  26. 26.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 16 cm (b) 8 cm (c) 126 cm (d) 9 cm
  27. 27.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 4 cm (c) 51 cm (d) 5 cm
  28. 28.A rectangle is 15 cm long and 9 cm wide. What is its area? (a) 135 sq cm (b) 48 sq cm (c) 24 sq cm (d) 150 sq cm
  29. 29.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 22 cm (b) 11 cm (c) 12 cm (d) 130 cm
  30. 30.A rectangle is 17 cm long and 4 cm wide. What is its area? (a) 21 sq cm (b) 85 sq cm (c) 42 sq cm (d) 68 sq cm
  31. 31.A rectangle has an area of 76 sq cm and a length of 19 cm. What is its width? (a) 4 cm (b) 57 cm (c) 5 cm (d) 8 cm
  32. 32.A rectangle is 10 cm long and 8 cm wide. What is its area? (a) 18 sq cm (b) 90 sq cm (c) 80 sq cm (d) 36 sq cm
  33. 33.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 60 sq cm (b) 38 sq cm (c) 19 sq cm (d) 75 sq cm
  34. 34.A rectangle is 9 cm long and 4 cm wide. What is its area? (a) 45 sq cm (b) 26 sq cm (c) 13 sq cm (d) 36 sq cm
  35. 35.A rectangle is 7 cm long and 6 cm wide. What is its perimeter? (a) 42 cm (b) 13 cm (c) 26 cm (d) 20 cm
  36. 36.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 42 sq cm (b) 21 sq cm (c) 110 sq cm (d) 121 sq cm
  37. 37.A rectangle is 14 cm long and 11 cm wide. What is its area? (a) 154 sq cm (b) 50 sq cm (c) 25 sq cm (d) 168 sq cm
  38. 38.A rectangle is 16 cm long and 9 cm wide. What is its area? (a) 25 sq cm (b) 144 sq cm (c) 160 sq cm (d) 50 sq cm
  39. 39.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 8 cm (b) 7 cm (c) 48 cm (d) 14 cm
  40. 40.A rectangle is 12 cm long and 5 cm wide. What is its perimeter? (a) 60 cm (b) 34 cm (c) 29 cm (d) 17 cm

Answer key

  1. 196 sq cm
  2. 36 sq cm
  3. 30 sq cm
  4. 121 sq cm
  5. 54 cm
  6. 22 sq cm
  7. 8 cm
  8. 18 cm
  9. 35 sq cm
  10. 22 cm
  11. 38 sq cm
  12. 12 cm
  13. 9 cm
  14. 4 cm
  15. 11 cm
  16. 100 sq cm
  17. 24 cm
  18. 20 cm
  19. 5 cm
  20. 225 sq cm
  21. 22 cm
  22. 144 sq cm
  23. 24 sq cm
  24. 2 cm
  25. 140 sq cm
  26. 8 cm
  27. 4 cm
  28. 135 sq cm
  29. 11 cm
  30. 68 sq cm
  31. 4 cm
  32. 80 sq cm
  33. 60 sq cm
  34. 36 sq cm
  35. 26 cm
  36. 110 sq cm
  37. 154 sq cm
  38. 144 sq cm
  39. 7 cm
  40. 34 cm

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