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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 541 · 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 14 cm long and 8 cm wide. What is its area? (a) 126 sq cm (b) 44 sq cm (c) 112 sq cm (d) 22 sq cm
  2. 2.A rectangle is 9 cm long and 6 cm wide. What is its area? (a) 54 sq cm (b) 15 sq cm (c) 63 sq cm (d) 30 sq cm
  3. 3.A rectangle is 10 cm long and 5 cm wide. What is its perimeter? (a) 25 cm (b) 15 cm (c) 50 cm (d) 30 cm
  4. 4.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 11 cm (b) 20 cm (c) 171 cm (d) 10 cm
  5. 5.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its width? (a) 10 cm (b) 6 cm (c) 24 cm (d) 5 cm
  6. 6.A rectangle is 10 cm long and 4 cm wide. What is its area? (a) 50 sq cm (b) 14 sq cm (c) 28 sq cm (d) 40 sq cm
  7. 7.A rectangle is 18 cm long and 12 cm wide. What is its perimeter? (a) 48 cm (b) 216 cm (c) 30 cm (d) 60 cm
  8. 8.A square has a perimeter of 20 cm. What is its area? (a) 10 sq cm (b) 20 sq cm (c) 25 sq cm (d) 36 sq cm
  9. 9.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its width? (a) 14 cm (b) 72 cm (c) 7 cm (d) 8 cm
  10. 10.A rectangle is 7 cm long and 4 cm wide. What is its perimeter? (a) 11 cm (b) 22 cm (c) 18 cm (d) 28 cm
  11. 11.A rectangle has an area of 176 sq cm and a length of 16 cm. What is its width? (a) 11 cm (b) 160 cm (c) 12 cm (d) 22 cm
  12. 12.A square has a perimeter of 48 cm. What is its area? (a) 24 sq cm (b) 169 sq cm (c) 144 sq cm (d) 48 sq cm
  13. 13.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 72 cm (b) 34 cm (c) 26 cm (d) 17 cm
  14. 14.A rectangle has an area of 200 sq cm and a length of 20 cm. What is its width? (a) 180 cm (b) 20 cm (c) 10 cm (d) 11 cm
  15. 15.A rectangle is 7 cm long and 3 cm wide. What is its area? (a) 20 sq cm (b) 28 sq cm (c) 10 sq cm (d) 21 sq cm
  16. 16.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its width? (a) 4 cm (b) 6 cm (c) 3 cm (d) 20 cm
  17. 17.A rectangle is 20 cm long and 6 cm wide. What is its perimeter? (a) 120 cm (b) 46 cm (c) 26 cm (d) 52 cm
  18. 18.A square has a perimeter of 52 cm. What is its area? (a) 26 sq cm (b) 52 sq cm (c) 196 sq cm (d) 169 sq cm
  19. 19.A rectangle is 9 cm long and 8 cm wide. What is its area? (a) 81 sq cm (b) 17 sq cm (c) 72 sq cm (d) 34 sq cm
  20. 20.A square has a perimeter of 32 cm. What is its area? (a) 32 sq cm (b) 81 sq cm (c) 16 sq cm (d) 64 sq cm
  21. 21.A rectangle is 19 cm long and 10 cm wide. What is its area? (a) 209 sq cm (b) 29 sq cm (c) 58 sq cm (d) 190 sq cm
  22. 22.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its width? (a) 28 cm (b) 4 cm (c) 6 cm (d) 3 cm
  23. 23.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its width? (a) 117 cm (b) 10 cm (c) 11 cm (d) 20 cm
  24. 24.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 11 sq cm (b) 22 sq cm (c) 30 sq cm (d) 36 sq cm
  25. 25.A square has a perimeter of 36 cm. What is its area? (a) 18 sq cm (b) 81 sq cm (c) 100 sq cm (d) 36 sq cm
  26. 26.A rectangle is 13 cm long and 7 cm wide. What is its area? (a) 91 sq cm (b) 104 sq cm (c) 20 sq cm (d) 40 sq cm
  27. 27.A rectangle is 19 cm long and 6 cm wide. What is its perimeter? (a) 44 cm (b) 25 cm (c) 114 cm (d) 50 cm
  28. 28.A rectangle is 9 cm long and 2 cm wide. What is its perimeter? (a) 18 cm (b) 20 cm (c) 22 cm (d) 11 cm
  29. 29.A rectangle is 10 cm long and 2 cm wide. What is its area? (a) 20 sq cm (b) 12 sq cm (c) 24 sq cm (d) 30 sq cm
  30. 30.A rectangle is 10 cm long and 7 cm wide. What is its perimeter? (a) 27 cm (b) 17 cm (c) 34 cm (d) 70 cm
  31. 31.A rectangle is 17 cm long and 11 cm wide. What is its area? (a) 56 sq cm (b) 204 sq cm (c) 187 sq cm (d) 28 sq cm
  32. 32.A rectangle is 15 cm long and 2 cm wide. What is its perimeter? (a) 34 cm (b) 17 cm (c) 32 cm (d) 30 cm
  33. 33.A rectangle is 17 cm long and 3 cm wide. What is its perimeter? (a) 20 cm (b) 51 cm (c) 40 cm (d) 37 cm
  34. 34.A rectangle is 7 cm long and 6 cm wide. What is its area? (a) 42 sq cm (b) 26 sq cm (c) 49 sq cm (d) 13 sq cm
  35. 35.A rectangle is 11 cm long and 3 cm wide. What is its area? (a) 33 sq cm (b) 28 sq cm (c) 14 sq cm (d) 44 sq cm
  36. 36.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its width? (a) 9 cm (b) 8 cm (c) 63 cm (d) 16 cm
  37. 37.A rectangle has an area of 99 sq cm and a length of 11 cm. What is its width? (a) 18 cm (b) 88 cm (c) 10 cm (d) 9 cm
  38. 38.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its width? (a) 10 cm (b) 11 cm (c) 144 cm (d) 20 cm
  39. 39.A rectangle has an area of 10 sq cm and a length of 5 cm. What is its width? (a) 4 cm (b) 2 cm (c) 5 cm (d) 3 cm
  40. 40.A rectangle is 7 cm long and 4 cm wide. What is its area? (a) 35 sq cm (b) 11 sq cm (c) 28 sq cm (d) 22 sq cm

Answer key

  1. 112 sq cm
  2. 54 sq cm
  3. 30 cm
  4. 10 cm
  5. 5 cm
  6. 40 sq cm
  7. 60 cm
  8. 25 sq cm
  9. 7 cm
  10. 22 cm
  11. 11 cm
  12. 144 sq cm
  13. 34 cm
  14. 10 cm
  15. 21 sq cm
  16. 3 cm
  17. 52 cm
  18. 169 sq cm
  19. 72 sq cm
  20. 64 sq cm
  21. 190 sq cm
  22. 3 cm
  23. 10 cm
  24. 30 sq cm
  25. 81 sq cm
  26. 91 sq cm
  27. 50 cm
  28. 22 cm
  29. 20 sq cm
  30. 34 cm
  31. 187 sq cm
  32. 34 cm
  33. 40 cm
  34. 42 sq cm
  35. 33 sq cm
  36. 8 cm
  37. 9 cm
  38. 10 cm
  39. 2 cm
  40. 28 sq cm

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