lilpressler083bl6

2023-02-25

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

### Answer & Explanation

i1goqnkb

O and P are the midpoints of AD and AC respectively.
Then $FR=\frac{DQ}{2}$
Also, AB || CD and AB || EF. This implies that EF || CD.
Area of $ABCD=AB×DQ$
Area of $ABEF=AB×FR=AB×\left(\frac{DQ}{2}\right)=\frac{1}{2}×\left(\text{Area of ABCD}\right)$

Do you have a similar question?

Recalculate according to your conditions!