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Perimeter and Area Worksheet for Maths Olympiad

Maths Olympiad topic 11: Perimeter and area · Set 986 · 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 15 cm long and 12 cm wide. What is its area? (a) 195 sq cm (b) 27 sq cm (c) 54 sq cm (d) 180 sq cm
  2. 2.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its width? (a) 5 cm (b) 6 cm (c) 36 cm (d) 10 cm
  3. 3.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its width? (a) 8 cm (b) 16 cm (c) 70 cm (d) 9 cm
  4. 4.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its width? (a) 11 cm (b) 22 cm (c) 140 cm (d) 12 cm
  5. 5.A rectangle is 11 cm long and 8 cm wide. What is its perimeter? (a) 19 cm (b) 88 cm (c) 30 cm (d) 38 cm
  6. 6.A rectangle is 7 cm long and 3 cm wide. What is its perimeter? (a) 17 cm (b) 21 cm (c) 20 cm (d) 10 cm
  7. 7.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its width? (a) 133 cm (b) 9 cm (c) 8 cm (d) 16 cm
  8. 8.A rectangle has an area of 190 sq cm and a length of 19 cm. What is its width? (a) 20 cm (b) 171 cm (c) 11 cm (d) 10 cm
  9. 9.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 9 sq cm (c) 14 sq cm (d) 21 sq cm
  10. 10.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its width? (a) 20 cm (b) 153 cm (c) 11 cm (d) 10 cm
  11. 11.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its width? (a) 10 cm (b) 144 cm (c) 9 cm (d) 18 cm
  12. 12.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 30 sq cm (b) 22 sq cm (c) 36 sq cm (d) 11 sq cm
  13. 13.A rectangle has an area of 160 sq cm and a length of 20 cm. What is its width? (a) 140 cm (b) 9 cm (c) 16 cm (d) 8 cm
  14. 14.A square has a perimeter of 48 cm. What is its area? (a) 144 sq cm (b) 48 sq cm (c) 169 sq cm (d) 24 sq cm
  15. 15.A rectangle is 12 cm long and 10 cm wide. What is its area? (a) 22 sq cm (b) 44 sq cm (c) 120 sq cm (d) 132 sq cm
  16. 16.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) 12 cm (d) 22 cm
  17. 17.A rectangle is 9 cm long and 8 cm wide. What is its perimeter? (a) 26 cm (b) 17 cm (c) 34 cm (d) 72 cm
  18. 18.A rectangle is 6 cm long and 2 cm wide. What is its area? (a) 18 sq cm (b) 16 sq cm (c) 12 sq cm (d) 8 sq cm
  19. 19.A square has a perimeter of 24 cm. What is its area? (a) 36 sq cm (b) 49 sq cm (c) 12 sq cm (d) 24 sq cm
  20. 20.A rectangle is 12 cm long and 6 cm wide. What is its perimeter? (a) 36 cm (b) 18 cm (c) 72 cm (d) 30 cm
  21. 21.A rectangle is 8 cm long and 4 cm wide. What is its area? (a) 32 sq cm (b) 12 sq cm (c) 40 sq cm (d) 24 sq cm
  22. 22.A rectangle has an area of 22 sq cm and a length of 11 cm. What is its width? (a) 11 cm (b) 4 cm (c) 3 cm (d) 2 cm
  23. 23.A rectangle is 6 cm long and 4 cm wide. What is its area? (a) 24 sq cm (b) 10 sq cm (c) 30 sq cm (d) 20 sq cm
  24. 24.A rectangle is 9 cm long and 3 cm wide. What is its perimeter? (a) 21 cm (b) 12 cm (c) 24 cm (d) 27 cm
  25. 25.A rectangle has an area of 84 sq cm and a length of 14 cm. What is its width? (a) 70 cm (b) 6 cm (c) 12 cm (d) 7 cm
  26. 26.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its width? (a) 13 cm (b) 12 cm (c) 220 cm (d) 24 cm
  27. 27.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its width? (a) 12 cm (b) 7 cm (c) 6 cm (d) 60 cm
  28. 28.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
  29. 29.A rectangle has an area of 68 sq cm and a length of 17 cm. What is its width? (a) 5 cm (b) 8 cm (c) 4 cm (d) 51 cm
  30. 30.A rectangle is 17 cm long and 3 cm wide. What is its area? (a) 40 sq cm (b) 20 sq cm (c) 51 sq cm (d) 68 sq cm
  31. 31.A rectangle is 16 cm long and 12 cm wide. What is its perimeter? (a) 28 cm (b) 192 cm (c) 56 cm (d) 44 cm
  32. 32.A square has a perimeter of 40 cm. What is its area? (a) 20 sq cm (b) 121 sq cm (c) 40 sq cm (d) 100 sq cm
  33. 33.A rectangle is 20 cm long and 3 cm wide. What is its area? (a) 80 sq cm (b) 46 sq cm (c) 60 sq cm (d) 23 sq cm
  34. 34.A square has a perimeter of 28 cm. What is its area? (a) 28 sq cm (b) 64 sq cm (c) 49 sq cm (d) 14 sq cm
  35. 35.A rectangle is 20 cm long and 8 cm wide. What is its area? (a) 180 sq cm (b) 56 sq cm (c) 28 sq cm (d) 160 sq cm
  36. 36.A rectangle is 11 cm long and 3 cm wide. What is its perimeter? (a) 28 cm (b) 14 cm (c) 25 cm (d) 33 cm
  37. 37.A rectangle is 19 cm long and 9 cm wide. What is its area? (a) 28 sq cm (b) 190 sq cm (c) 171 sq cm (d) 56 sq cm
  38. 38.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) 12 cm (d) 7 cm
  39. 39.A square has a perimeter of 44 cm. What is its area? (a) 144 sq cm (b) 121 sq cm (c) 44 sq cm (d) 22 sq cm
  40. 40.A rectangle is 8 cm long and 3 cm wide. What is its perimeter? (a) 24 cm (b) 22 cm (c) 19 cm (d) 11 cm

Answer key

  1. 180 sq cm
  2. 5 cm
  3. 8 cm
  4. 11 cm
  5. 38 cm
  6. 20 cm
  7. 8 cm
  8. 10 cm
  9. 14 sq cm
  10. 10 cm
  11. 9 cm
  12. 30 sq cm
  13. 8 cm
  14. 144 sq cm
  15. 120 sq cm
  16. 11 cm
  17. 34 cm
  18. 12 sq cm
  19. 36 sq cm
  20. 36 cm
  21. 32 sq cm
  22. 2 cm
  23. 24 sq cm
  24. 24 cm
  25. 6 cm
  26. 12 cm
  27. 6 cm
  28. 40 cm
  29. 4 cm
  30. 51 sq cm
  31. 56 cm
  32. 100 sq cm
  33. 60 sq cm
  34. 49 sq cm
  35. 160 sq cm
  36. 28 cm
  37. 171 sq cm
  38. 6 cm
  39. 121 sq cm
  40. 22 cm

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