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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 214 · 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 7 cm long and 6 cm wide. What is its area? (a) 49 sq cm (b) 13 sq cm (c) 26 sq cm (d) 42 sq cm
  2. 2.A square has a perimeter of 60 cm. What is its area? (a) 225 sq cm (b) 60 sq cm (c) 30 sq cm (d) 256 sq cm
  3. 3.A square has a perimeter of 56 cm. What is its area? (a) 225 sq cm (b) 196 sq cm (c) 28 sq cm (d) 56 sq cm
  4. 4.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its width? (a) 10 cm (b) 136 cm (c) 9 cm (d) 18 cm
  5. 5.A rectangle has an area of 90 sq cm and a length of 10 cm. What is its width? (a) 9 cm (b) 10 cm (c) 18 cm (d) 80 cm
  6. 6.A rectangle is 7 cm long and 5 cm wide. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 42 sq cm (d) 35 sq cm
  7. 7.A rectangle is 13 cm long and 11 cm wide. What is its area? (a) 24 sq cm (b) 48 sq cm (c) 156 sq cm (d) 143 sq cm
  8. 8.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 28 cm
  9. 9.A rectangle is 12 cm long and 3 cm wide. What is its area? (a) 36 sq cm (b) 15 sq cm (c) 48 sq cm (d) 30 sq cm
  10. 10.A rectangle has an area of 6 sq cm and a length of 3 cm. What is its width? (a) 3 cm (b) 2 cm (c) 4 cm (d) 1 cm
  11. 11.A rectangle has an area of 150 sq cm and a length of 15 cm. What is its width? (a) 135 cm (b) 10 cm (c) 11 cm (d) 20 cm
  12. 12.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its width? (a) 5 cm (b) 54 cm (c) 8 cm (d) 4 cm
  13. 13.A rectangle has an area of 54 sq cm and a length of 18 cm. What is its width? (a) 3 cm (b) 36 cm (c) 4 cm (d) 6 cm
  14. 14.A rectangle is 14 cm long and 9 cm wide. What is its area? (a) 140 sq cm (b) 23 sq cm (c) 46 sq cm (d) 126 sq cm
  15. 15.A rectangle is 12 cm long and 9 cm wide. What is its perimeter? (a) 108 cm (b) 33 cm (c) 42 cm (d) 21 cm
  16. 16.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 3 cm (b) 4 cm (c) 15 cm (d) 2 cm
  17. 17.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 44 sq cm (b) 60 sq cm (c) 40 sq cm (d) 22 sq cm
  18. 18.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 169 sq cm (c) 144 sq cm (d) 24 sq cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 12 sq cm (b) 24 sq cm (c) 49 sq cm (d) 36 sq cm
  20. 20.A rectangle is 8 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 16 cm (c) 10 cm (d) 20 cm
  21. 21.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 16 sq cm (c) 18 sq cm (d) 12 sq cm
  22. 22.A rectangle is 9 cm long and 5 cm wide. What is its area? (a) 45 sq cm (b) 14 sq cm (c) 54 sq cm (d) 28 sq cm
  23. 23.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 40 sq cm (c) 100 sq cm (d) 121 sq cm
  24. 24.A rectangle is 8 cm long and 5 cm wide. What is its area? (a) 48 sq cm (b) 26 sq cm (c) 13 sq cm (d) 40 sq cm
  25. 25.A square has a perimeter of 28 cm. What is its area? (a) 14 sq cm (b) 64 sq cm (c) 49 sq cm (d) 28 sq cm
  26. 26.A rectangle is 19 cm long and 12 cm wide. What is its area? (a) 62 sq cm (b) 31 sq cm (c) 247 sq cm (d) 228 sq cm
  27. 27.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 240 sq cm (b) 31 sq cm (c) 62 sq cm (d) 220 sq cm
  28. 28.A square has a perimeter of 32 cm. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 64 sq cm (d) 81 sq cm
  29. 29.A rectangle is 18 cm long and 3 cm wide. What is its perimeter? (a) 39 cm (b) 42 cm (c) 54 cm (d) 21 cm
  30. 30.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 140 cm (c) 12 cm (d) 22 cm
  31. 31.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 100 sq cm (c) 81 sq cm (d) 36 sq cm
  32. 32.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its width? (a) 20 cm (b) 11 cm (c) 99 cm (d) 10 cm
  33. 33.A rectangle has an area of 40 sq cm and a length of 8 cm. What is its width? (a) 10 cm (b) 5 cm (c) 32 cm (d) 6 cm
  34. 34.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 22 cm (b) 11 cm (c) 190 cm (d) 12 cm
  35. 35.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 28 sq cm (c) 35 sq cm (d) 11 sq cm
  36. 36.A rectangle has an area of 18 sq cm and a length of 9 cm. What is its width? (a) 2 cm (b) 4 cm (c) 9 cm (d) 3 cm
  37. 37.A rectangle is 13 cm long and 3 cm wide. What is its perimeter? (a) 16 cm (b) 39 cm (c) 29 cm (d) 32 cm
  38. 38.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 3 cm (c) 5 cm (d) 2 cm
  39. 39.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its width? (a) 7 cm (b) 6 cm (c) 45 cm (d) 12 cm
  40. 40.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 121 sq cm (c) 144 sq cm (d) 44 sq cm

Answer key

  1. 42 sq cm
  2. 225 sq cm
  3. 196 sq cm
  4. 9 cm
  5. 9 cm
  6. 35 sq cm
  7. 143 sq cm
  8. 3 cm
  9. 36 sq cm
  10. 2 cm
  11. 10 cm
  12. 4 cm
  13. 3 cm
  14. 126 sq cm
  15. 42 cm
  16. 2 cm
  17. 40 sq cm
  18. 144 sq cm
  19. 36 sq cm
  20. 20 cm
  21. 12 sq cm
  22. 45 sq cm
  23. 100 sq cm
  24. 40 sq cm
  25. 49 sq cm
  26. 228 sq cm
  27. 220 sq cm
  28. 64 sq cm
  29. 42 cm
  30. 11 cm
  31. 81 sq cm
  32. 10 cm
  33. 5 cm
  34. 11 cm
  35. 28 sq cm
  36. 2 cm
  37. 32 cm
  38. 2 cm
  39. 6 cm
  40. 121 sq cm

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