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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 717 · 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 140 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 20 cm (c) 10 cm (d) 126 cm
  2. 2.A rectangle is 15 cm long and 5 cm wide. What is its perimeter? (a) 20 cm (b) 35 cm (c) 75 cm (d) 40 cm
  3. 3.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 23 sq cm (c) 60 sq cm (d) 46 sq cm
  4. 4.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its width? (a) 8 cm (b) 14 cm (c) 7 cm (d) 54 cm
  5. 5.A rectangle is 16 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 48 sq cm (c) 36 sq cm (d) 32 sq cm
  6. 6.A rectangle is 16 cm long and 5 cm wide. What is its area? (a) 96 sq cm (b) 80 sq cm (c) 42 sq cm (d) 21 sq cm
  7. 7.A rectangle is 13 cm long and 8 cm wide. What is its area? (a) 117 sq cm (b) 21 sq cm (c) 104 sq cm (d) 42 sq cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 20 sq cm (b) 25 sq cm (c) 10 sq cm (d) 36 sq cm
  9. 9.A rectangle is 15 cm long and 6 cm wide. What is its perimeter? (a) 21 cm (b) 90 cm (c) 42 cm (d) 36 cm
  10. 10.A rectangle is 20 cm long and 2 cm wide. What is its perimeter? (a) 22 cm (b) 44 cm (c) 40 cm (d) 42 cm
  11. 11.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 20 cm (c) 10 cm (d) 11 cm
  12. 12.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 153 cm (b) 11 cm (c) 20 cm (d) 10 cm
  13. 13.A rectangle is 16 cm long and 11 cm wide. What is its perimeter? (a) 43 cm (b) 176 cm (c) 54 cm (d) 27 cm
  14. 14.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
  15. 15.A square has a perimeter of 48 cm. What is its area? (a) 48 sq cm (b) 24 sq cm (c) 169 sq cm (d) 144 sq cm
  16. 16.A rectangle is 13 cm long and 3 cm wide. What is its area? (a) 16 sq cm (b) 32 sq cm (c) 52 sq cm (d) 39 sq cm
  17. 17.A square has a perimeter of 36 cm. What is its area? (a) 100 sq cm (b) 81 sq cm (c) 18 sq cm (d) 36 sq cm
  18. 18.A rectangle is 20 cm long and 7 cm wide. What is its area? (a) 160 sq cm (b) 54 sq cm (c) 140 sq cm (d) 27 sq cm
  19. 19.A rectangle is 19 cm long and 4 cm wide. What is its area? (a) 23 sq cm (b) 95 sq cm (c) 76 sq cm (d) 46 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 81 sq cm (b) 16 sq cm (c) 64 sq cm (d) 32 sq cm
  21. 21.A rectangle has an area of 34 sq cm and a length of 17 cm. What is its width? (a) 17 cm (b) 3 cm (c) 2 cm (d) 4 cm
  22. 22.A rectangle is 17 cm long and 10 cm wide. What is its perimeter? (a) 170 cm (b) 44 cm (c) 54 cm (d) 27 cm
  23. 23.A rectangle is 12 cm long and 7 cm wide. What is its area? (a) 19 sq cm (b) 96 sq cm (c) 84 sq cm (d) 38 sq cm
  24. 24.A rectangle is 12 cm long and 9 cm wide. What is its area? (a) 21 sq cm (b) 120 sq cm (c) 108 sq cm (d) 42 sq cm
  25. 25.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 68 sq cm (c) 40 sq cm (d) 51 sq cm
  26. 26.A rectangle is 13 cm long and 8 cm wide. What is its perimeter? (a) 34 cm (b) 104 cm (c) 21 cm (d) 42 cm
  27. 27.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 27 cm (b) 12 cm (c) 24 cm (d) 21 cm
  28. 28.A rectangle has an area of 144 sq cm and a length of 18 cm. What is its width? (a) 9 cm (b) 126 cm (c) 8 cm (d) 16 cm
  29. 29.A square has a perimeter of 56 cm. What is its area? (a) 56 sq cm (b) 225 sq cm (c) 28 sq cm (d) 196 sq cm
  30. 30.A square has a perimeter of 44 cm. What is its area? (a) 22 sq cm (b) 144 sq cm (c) 44 sq cm (d) 121 sq cm
  31. 31.A rectangle is 20 cm long and 10 cm wide. What is its area? (a) 60 sq cm (b) 30 sq cm (c) 220 sq cm (d) 200 sq cm
  32. 32.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its width? (a) 112 cm (b) 18 cm (c) 9 cm (d) 10 cm
  33. 33.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 12 sq cm (b) 16 sq cm (c) 8 sq cm (d) 18 sq cm
  34. 34.A rectangle is 15 cm long and 7 cm wide. What is its perimeter? (a) 22 cm (b) 105 cm (c) 44 cm (d) 37 cm
  35. 35.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 171 sq cm (b) 190 sq cm (c) 56 sq cm (d) 28 sq cm
  36. 36.A square has a perimeter of 24 cm. What is its area? (a) 24 sq cm (b) 49 sq cm (c) 12 sq cm (d) 36 sq cm
  37. 37.A rectangle is 18 cm long and 4 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 90 sq cm (d) 72 sq cm
  38. 38.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its width? (a) 8 cm (b) 16 cm (c) 9 cm (d) 119 cm
  39. 39.A rectangle has an area of 20 sq cm and a length of 10 cm. What is its width? (a) 2 cm (b) 10 cm (c) 4 cm (d) 3 cm
  40. 40.A square has a perimeter of 52 cm. What is its area? (a) 169 sq cm (b) 26 sq cm (c) 52 sq cm (d) 196 sq cm

Answer key

  1. 10 cm
  2. 40 cm
  3. 60 sq cm
  4. 7 cm
  5. 32 sq cm
  6. 80 sq cm
  7. 104 sq cm
  8. 25 sq cm
  9. 42 cm
  10. 44 cm
  11. 10 cm
  12. 10 cm
  13. 54 cm
  14. 9 cm
  15. 144 sq cm
  16. 39 sq cm
  17. 81 sq cm
  18. 140 sq cm
  19. 76 sq cm
  20. 64 sq cm
  21. 2 cm
  22. 54 cm
  23. 84 sq cm
  24. 108 sq cm
  25. 51 sq cm
  26. 42 cm
  27. 24 cm
  28. 8 cm
  29. 196 sq cm
  30. 121 sq cm
  31. 200 sq cm
  32. 9 cm
  33. 12 sq cm
  34. 44 cm
  35. 171 sq cm
  36. 36 sq cm
  37. 72 sq cm
  38. 8 cm
  39. 2 cm
  40. 169 sq cm

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