If the area of parallelogram ABCD is 54 square units, what is the area of parallelogram ABEF?

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i1goqnkb · Accepted Answer

O and P are the midpoints of AD and AC respectively.  Then    F   R   =               D       Q          2      Also, AB || CD and AB || EF. This implies that EF || CD.  Area of    A   B   C   D   =   A   B   &amp;#x00D7;   D   Q   Area of    A   B   E   F   =   A   B   &amp;#x00D7;   F   R   =   A   B   &amp;#x00D7;   (               D       Q          2      )   =        1     2      &amp;#x00D7;   (   Area of ABCD   )

If the area of parallelogram ABCD is 54 square units, what is the area of...

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