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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 533 · 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 171 sq cm and a length of 19 cm. What is its width? (a) 152 cm (b) 18 cm (c) 10 cm (d) 9 cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 121 sq cm (c) 22 sq cm (d) 144 sq cm
  3. 3.A rectangle is 13 cm long and 9 cm wide. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 130 sq cm (d) 117 sq cm
  4. 4.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
  5. 5.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its width? (a) 11 cm (b) 130 cm (c) 22 cm (d) 12 cm
  6. 6.A square has a perimeter of 52 cm. What is its area? (a) 196 sq cm (b) 169 sq cm (c) 52 sq cm (d) 26 sq cm
  7. 7.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
  8. 8.A square has a perimeter of 28 cm. What is its area? (a) 64 sq cm (b) 14 sq cm (c) 28 sq cm (d) 49 sq cm
  9. 9.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
  10. 10.A rectangle is 11 cm long and 2 cm wide. What is its perimeter? (a) 13 cm (b) 22 cm (c) 24 cm (d) 26 cm
  11. 11.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 24 cm (c) 220 cm (d) 12 cm
  12. 12.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 144 cm
  13. 13.A rectangle is 13 cm long and 9 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 35 cm (d) 117 cm
  14. 14.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its width? (a) 6 cm (b) 4 cm (c) 16 cm (d) 3 cm
  15. 15.A rectangle is 20 cm long and 11 cm wide. What is its area? (a) 31 sq cm (b) 62 sq cm (c) 240 sq cm (d) 220 sq cm
  16. 16.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
  17. 17.A rectangle is 8 cm long and 5 cm wide. What is its perimeter? (a) 26 cm (b) 40 cm (c) 13 cm (d) 21 cm
  18. 18.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 16 sq cm (c) 64 sq cm (d) 81 sq cm
  19. 19.A rectangle is 14 cm long and 8 cm wide. What is its area? (a) 44 sq cm (b) 112 sq cm (c) 126 sq cm (d) 22 sq cm
  20. 20.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 70 cm (b) 8 cm (c) 16 cm (d) 9 cm
  21. 21.A rectangle is 9 cm long and 4 cm wide. What is its perimeter? (a) 13 cm (b) 26 cm (c) 22 cm (d) 36 cm
  22. 22.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 22 cm (b) 140 cm (c) 12 cm (d) 11 cm
  23. 23.A rectangle is 20 cm long and 6 cm wide. What is its area? (a) 140 sq cm (b) 26 sq cm (c) 52 sq cm (d) 120 sq cm
  24. 24.A rectangle is 11 cm long and 10 cm wide. What is its area? (a) 121 sq cm (b) 110 sq cm (c) 21 sq cm (d) 42 sq cm
  25. 25.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 78 sq cm (b) 19 sq cm (c) 38 sq cm (d) 91 sq cm
  26. 26.A rectangle has an area of 120 sq cm and a length of 20 cm. What is its width? (a) 100 cm (b) 12 cm (c) 7 cm (d) 6 cm
  27. 27.A rectangle has an area of 12 sq cm and a length of 4 cm. What is its width? (a) 6 cm (b) 4 cm (c) 3 cm (d) 8 cm
  28. 28.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 39 cm (b) 46 cm (c) 23 cm (d) 112 cm
  29. 29.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 36 sq cm (b) 48 sq cm (c) 32 sq cm (d) 18 sq cm
  30. 30.A rectangle is 20 cm long and 2 cm wide. What is its area? (a) 40 sq cm (b) 60 sq cm (c) 22 sq cm (d) 44 sq cm
  31. 31.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 26 cm (b) 120 cm (c) 46 cm (d) 52 cm
  32. 32.A rectangle is 20 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 24 cm (c) 48 cm (d) 80 cm
  33. 33.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 22 cm (c) 12 cm (d) 11 cm
  34. 34.A square has a perimeter of 56 cm. What is its area? (a) 196 sq cm (b) 28 sq cm (c) 56 sq cm (d) 225 sq cm
  35. 35.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its width? (a) 13 cm (b) 24 cm (c) 12 cm (d) 198 cm
  36. 36.A rectangle is 13 cm long and 5 cm wide. What is its perimeter? (a) 65 cm (b) 36 cm (c) 18 cm (d) 31 cm
  37. 37.A rectangle is 13 cm long and 2 cm wide. What is its area? (a) 26 sq cm (b) 39 sq cm (c) 15 sq cm (d) 30 sq cm
  38. 38.A rectangle is 18 cm long and 4 cm wide. What is its perimeter? (a) 44 cm (b) 72 cm (c) 22 cm (d) 40 cm
  39. 39.A rectangle is 12 cm long and 2 cm wide. What is its perimeter? (a) 26 cm (b) 14 cm (c) 24 cm (d) 28 cm
  40. 40.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 40 cm (c) 35 cm (d) 75 cm

Answer key

  1. 9 cm
  2. 121 sq cm
  3. 117 sq cm
  4. 5 cm
  5. 11 cm
  6. 169 sq cm
  7. 100 sq cm
  8. 49 sq cm
  9. 144 sq cm
  10. 26 cm
  11. 12 cm
  12. 10 cm
  13. 44 cm
  14. 3 cm
  15. 220 sq cm
  16. 225 sq cm
  17. 26 cm
  18. 64 sq cm
  19. 112 sq cm
  20. 8 cm
  21. 26 cm
  22. 11 cm
  23. 120 sq cm
  24. 110 sq cm
  25. 78 sq cm
  26. 6 cm
  27. 3 cm
  28. 46 cm
  29. 32 sq cm
  30. 40 sq cm
  31. 52 cm
  32. 48 cm
  33. 11 cm
  34. 196 sq cm
  35. 12 cm
  36. 36 cm
  37. 26 sq cm
  38. 44 cm
  39. 28 cm
  40. 40 cm

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