38. In the figure below, points E and F are the midpoints of sides AD and BC of rectangle ABCD, point G is the intersection of AF and BE, and point H is the intersection of CE and DF. The interior of ABCD except for the interior of EGFH is shaded. What is the ratio of the area of EGFH to the area of the shaded region?

Answer and Explanation

Your Answer is

Correct Answer is G

Explanation

Connect to EF. Then the two halves of the EGFH are respectively two rectangular quadrangular triangles on the left and right sides. So the area of ​​the white part is a quarter of the whole. So the area ratio of the white part to the shaded part is 1:3. Therefore choose G.