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Squares and Rhombi

ACTMAT-IJANEY

The figure below consists of square ABCD and rhombus AECF, with diagonal $ {\overline {AC}} $ dividing AECF into two equilateral triangles.

If the perimeter of $AECF = 8$ units, what is the approximate value of $EF – BD$?

A

$0.73$

B

$0.87$

C

$1.46$

D

$1.73$

E

$2$