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In the picture below,
ABCD
is a rectangle, $\,\overline{AB}\,=\,4\,$, $\,\overline{BC}\,=\,1\;$ and $\,\overline{DE}\,=\,\overline{EF}\,=\,\overline{FC}\;$. The length of
$\,\overline{BG}\,$ is:
a)
$\,\dfrac{\sqrt{5}}{4}\,$
b)
$\,\dfrac{5}{2}\,$
c)
$\,\dfrac{9}{4}\,$
d)
$\,\dfrac{11}{4}\,$
e)
$\,\dfrac{5}{\sqrt{2}}\,$
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answer: (B)
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