我是一个家长，现在需要辅导孩子做这道数学题。用大白话把题目讲清楚。---**Extraction Content:** **Question Stem:** 求正方形中阴影部分面积? **Other Relevant Text:** 中点 (located near the midpoint of the top side) 中点 (located near the midpoint of the left side) 中点 (located near the midpoint of the bottom side) 中点 (located near the midpoint of the right side) 28m² (Area of the top left region) 38m² (Area of the top right region) 32m² (Area of the bottom left region) **Chart/Diagram Description:** Type: Geometric figure (A square divided into four regions by lines originating from an internal point). Main Elements: - A square outline. - Four labels "中点" indicating the midpoints of the top, left, bottom, and right sides of the square. - An internal point where four line segments meet. - Four regions within the square formed by connecting the internal point to the midpoints of the four sides. - Areas of three regions are given: 28m² (top left region), 38m² (top right region), and 32m² (bottom left region). - The bottom right region is shaded with diagonal lines. - The regions are quadrilaterals. Let the vertices of the square be A (top left), B (top right), C (bottom right), D (bottom left). Let the midpoints be E (top), F (left), G (bottom), H (right). Let the internal point be P. The regions are AEPF (28m²), EBHP (38m²), FPGD (32m²), and PGCH (shaded). - The lines connecting the internal point P are to the midpoints E, F, G, H. **Mathematical Information / Data:** Area of top left region (AEPF) = 28 m² Area of top right region (EBHP) = 38 m² Area of bottom left region (FPGD) = 32 m² Area of bottom right region (PGCH) = ? (Shaded area) Based on the geometric property for a square (or rectangle) divided by lines from an internal point to the midpoints of the sides, the sum of the areas of opposite quadrilaterals is equal. Area(AEPF) + Area(PGCH) = Area(EBHP) + Area(FPGD) 28 + Area(PGCH) = 38 + 32 28 + Area(PGCH) = 70 Area(PGCH) = 70 - 28 = 42 Therefore, the area of the shaded region is 42 m².