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

lilpressler083bl6

lilpressler083bl6

Answered question

2023-02-25

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

Answer & Explanation

i1goqnkb

i1goqnkb

Beginner2023-02-26Added 5 answers

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 × D Q
Area of A B E F = A B × F R = A B × ( D Q 2 ) = 1 2 × ( Area of ABCD )

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