The diagonals ac and bd of the convex quadrilateral abcd with area 28 intersect each other at point o. the lines which are parallel to the diagonal ac come through the midpoints of segments bo and do . find the area of the portion of the quadrilateral that is between those lines.

21

Step-by-step explanation (note, the suggested way is not the shortest one):

all the details are in the attached picture.

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

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step-by-step explanation:

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