14. From a point $P$ inside a convex quadrilateral, segments are drawn connecting it to the midpoints of the sides. In this way, the quadrilateral is divided into four regions. The areas of three of these regions are indicated in the figure. What is the area of the fourth?
(A) 32
(B) 33
(C) 29
(D) 31
(E) 30

![](https://cdn.mathpix.com/cropped/2024_04_17_94b06074249d24c20b4bg-2.jpg?height=253&width=276&top_left_y=1671&top_left_x=1074)
(14) The correct answer is $(A)$.

Draw the segments connecting $P$ to the four vertices: they cut the four regions into triangles having pairwise the same area, since they have equal base and height. It follows that the sums of the areas of the two pairs of opposite regions are equal.

The missing area is therefore $28+23-19=32$.

Question proposed by Giovanni Maria Tomaselli.