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A quadrilateral field ABCD has its side mid-points joined to form an inner parallelogram of perimeter 22 m. The two diagonals AC and BD of the field are in the ratio 5 : 6.
Find the longer diagonal of the field.

Class 9The Mid-point TheoremGeometry — Quadrilaterals
  • A11
  • B24
  • C12
  • D13

Step-by-Step Solution

Inner perimeter = AC + BD (since the four inner sides total one full AC and one full BD). So AC + BD = 22. With ratio 5:6, AC = 10, BD = 12. The longer diagonal is 12 m.
Answer: C) 12

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