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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 136 · 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 7 cm wide. What is its perimeter? (a) 20 cm (b) 33 cm (c) 91 cm (d) 40 cm
  2. 2.A square has a perimeter of 44 cm. What is its area? (a) 44 sq cm (b) 22 sq cm (c) 121 sq cm (d) 144 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 209 sq cm and a length of 19 cm. What is its width? (a) 190 cm (b) 11 cm (c) 22 cm (d) 12 cm
  5. 5.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 14 sq cm (c) 28 sq cm (d) 44 sq cm
  6. 6.A rectangle is 17 cm long and 6 cm wide. What is its area? (a) 46 sq cm (b) 23 sq cm (c) 119 sq cm (d) 102 sq cm
  7. 7.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its width? (a) 60 cm (b) 14 cm (c) 7 cm (d) 8 cm
  8. 8.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 8 sq cm (b) 12 sq cm (c) 16 sq cm (d) 18 sq cm
  9. 9.A rectangle is 16 cm long and 5 cm wide. What is its perimeter? (a) 21 cm (b) 37 cm (c) 80 cm (d) 42 cm
  10. 10.A rectangle is 8 cm long and 2 cm wide. What is its area? (a) 16 sq cm (b) 20 sq cm (c) 24 sq cm (d) 10 sq cm
  11. 11.A square has a perimeter of 24 cm. What is its area? (a) 49 sq cm (b) 36 sq cm (c) 24 sq cm (d) 12 sq cm
  12. 12.A rectangle is 16 cm long and 7 cm wide. What is its perimeter? (a) 46 cm (b) 112 cm (c) 39 cm (d) 23 cm
  13. 13.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 28 sq cm (b) 14 sq cm (c) 40 sq cm (d) 50 sq cm
  14. 14.A rectangle has an area of 36 sq cm and a length of 18 cm. What is its width? (a) 2 cm (b) 4 cm (c) 18 cm (d) 3 cm
  15. 15.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) 20 cm (d) 4 cm
  16. 16.A rectangle has an area of 8 sq cm and a length of 4 cm. What is its width? (a) 2 cm (b) 1 cm (c) 4 cm (d) 3 cm
  17. 17.A rectangle has an area of 30 sq cm and a length of 15 cm. What is its width? (a) 4 cm (b) 15 cm (c) 2 cm (d) 3 cm
  18. 18.A rectangle is 14 cm long and 3 cm wide. What is its perimeter? (a) 42 cm (b) 34 cm (c) 17 cm (d) 31 cm
  19. 19.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 16 cm (c) 8 cm (d) 9 cm
  20. 20.A rectangle is 14 cm long and 7 cm wide. What is its area? (a) 112 sq cm (b) 98 sq cm (c) 21 sq cm (d) 42 sq cm
  21. 21.A rectangle is 15 cm long and 4 cm wide. What is its area? (a) 75 sq cm (b) 19 sq cm (c) 38 sq cm (d) 60 sq cm
  22. 22.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 21 cm (c) 90 cm (d) 42 cm
  23. 23.A rectangle is 10 cm long and 4 cm wide. What is its perimeter? (a) 24 cm (b) 14 cm (c) 28 cm (d) 40 cm
  24. 24.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 169 sq cm (c) 24 sq cm (d) 48 sq cm
  25. 25.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its width? (a) 6 cm (b) 75 cm (c) 7 cm (d) 12 cm
  26. 26.A rectangle is 15 cm long and 12 cm wide. What is its perimeter? (a) 180 cm (b) 27 cm (c) 42 cm (d) 54 cm
  27. 27.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its width? (a) 150 cm (b) 11 cm (c) 22 cm (d) 12 cm
  28. 28.A rectangle is 14 cm long and 7 cm wide. What is its perimeter? (a) 35 cm (b) 98 cm (c) 21 cm (d) 42 cm
  29. 29.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its width? (a) 48 cm (b) 14 cm (c) 7 cm (d) 8 cm
  30. 30.A rectangle is 18 cm long and 8 cm wide. What is its perimeter? (a) 144 cm (b) 52 cm (c) 26 cm (d) 44 cm
  31. 31.A square has a perimeter of 60 cm. What is its area? (a) 30 sq cm (b) 60 sq cm (c) 225 sq cm (d) 256 sq cm
  32. 32.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 58 sq cm (b) 29 sq cm (c) 209 sq cm (d) 190 sq cm
  33. 33.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
  34. 34.A rectangle is 13 cm long and 6 cm wide. What is its area? (a) 19 sq cm (b) 38 sq cm (c) 78 sq cm (d) 91 sq cm
  35. 35.A rectangle has an area of 140 sq cm and a length of 14 cm. What is its width? (a) 20 cm (b) 11 cm (c) 10 cm (d) 126 cm
  36. 36.A rectangle has an area of 144 sq cm and a length of 16 cm. What is its width? (a) 9 cm (b) 18 cm (c) 128 cm (d) 10 cm
  37. 37.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 17 cm (c) 10 cm (d) 20 cm
  38. 38.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 64 sq cm (c) 32 sq cm (d) 16 sq cm
  39. 39.A rectangle is 9 cm long and 7 cm wide. What is its area? (a) 72 sq cm (b) 16 sq cm (c) 63 sq cm (d) 32 sq cm
  40. 40.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 7 cm (b) 12 cm (c) 6 cm (d) 60 cm

Answer key

  1. 40 cm
  2. 121 sq cm
  3. 196 sq cm
  4. 11 cm
  5. 33 sq cm
  6. 102 sq cm
  7. 7 cm
  8. 12 sq cm
  9. 42 cm
  10. 16 sq cm
  11. 36 sq cm
  12. 46 cm
  13. 40 sq cm
  14. 2 cm
  15. 3 cm
  16. 2 cm
  17. 2 cm
  18. 34 cm
  19. 8 cm
  20. 98 sq cm
  21. 60 sq cm
  22. 42 cm
  23. 28 cm
  24. 144 sq cm
  25. 6 cm
  26. 54 cm
  27. 11 cm
  28. 42 cm
  29. 7 cm
  30. 52 cm
  31. 225 sq cm
  32. 190 sq cm
  33. 36 sq cm
  34. 78 sq cm
  35. 10 cm
  36. 9 cm
  37. 20 cm
  38. 64 sq cm
  39. 63 sq cm
  40. 6 cm

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