In the following figure, CD = 5 cm, BE = \(\frac{16}{3}\) cm, AE =…

GATE · 2024 · EE · General AptitudeModified — slightly modified from the official paper; see the solution

In the following figure,

CD = 5 cm, BE = 163\frac{16}{3} cm, AE = 203\frac{20}{3} cm,

∠DAB = ∠DCB, and ∠DAE = ∠DBC = 90°

Points AFCD create a rhombus.

Rhombus AFCD with A left, D top, C right and F bottom. Diagonals AC and DF meet at B; DF extends through F to E, and A is joined to E.

The length of BF (in cm) is

  1. A.

    3

  2. B.

    2

  3. C.

    4

  4. D.

    6

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