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Word problems: width of a rectangle from fractional area and length

Year 6 maths · Fieldbook Learning

Name ______________________ Date __________

Width is area divided by length. Divide the area fraction by the length fraction, then write the answer in lowest terms.

  1. A rectangular strip of land has an area of 1/3 square mi and a length of 2/3 mi. How wide is it, in mi?
  2. A rectangular strip of land has an area of 1/3 square ft and a length of 1/3 ft. How wide is it, in ft?
  3. A rectangular strip of land has an area of 2/3 square ft and a length of 1/2 ft. How wide is it, in ft?
  4. A rectangular strip of land has an area of 1/4 square km and a length of 3/4 km. How wide is it, in km?
  5. A rectangular field has an area of 1/4 square km and a length of 1/2 km. How wide is it, in km?
  6. A rectangular strip of land has an area of 2/3 square ft and a length of 1/5 ft. How wide is it, in ft?
  7. A rectangular strip of land has an area of 2/3 square m and a length of 1/6 m. How wide is it, in m?
  8. A rectangular strip of land has an area of 2/3 square km and a length of 1/2 km. How wide is it, in km?
  9. A rectangular strip of land has an area of 1/2 square ft and a length of 1/2 ft. How wide is it, in ft?
  10. A rectangular park has an area of 3/4 square ft and a length of 4/8 ft. How wide is it, in ft?
  11. A rectangular field has an area of 2/5 square ft and a length of 1/3 ft. How wide is it, in ft?
  12. A rectangular strip of land has an area of 3/6 square mi and a length of 1/2 mi. How wide is it, in mi?
  13. A rectangular park has an area of 4/6 square km and a length of 7/8 km. How wide is it, in km?
  14. A rectangular field has an area of 2/6 square mi and a length of 8/9 mi. How wide is it, in mi?
  15. A rectangular garden has an area of 1/2 square m and a length of 3/5 m. How wide is it, in m?
  16. A rectangular garden has an area of 1/3 square ft and a length of 5/9 ft. How wide is it, in ft?
  17. A rectangular garden has an area of 2/9 square m and a length of 4/5 m. How wide is it, in m?
  18. A rectangular garden has an area of 5/6 square m and a length of 1/4 m. How wide is it, in m?
  19. A rectangular garden has an area of 1/2 square km and a length of 11/12 km. How wide is it, in km?
  20. A rectangular park has an area of 4/7 square km and a length of 8/10 km. How wide is it, in km?
More free practice: fieldbooklearning.com/au/practice/year-6/word-problems-width-of-a-rectangle-from-fractional-area-and-length/

Answer key: Word problems: width of a rectangle from fractional area and length

  1. 1/2
  2. 1
  3. 4/3
  4. 1/3
  5. 1/2
  6. 10/3
  7. 4
  8. 4/3
  9. 1
  10. 3/2
  11. 6/5
  12. 1
  13. 16/21
  14. 3/8
  15. 5/6
  16. 3/5
  17. 5/18
  18. 10/3
  19. 6/11
  20. 5/7