四个正方形组合在一起,其中EF长10,点A、E、O、K在一条直线上,A、Q、G 在一条直线上,求阴影面积?---**Image Description:**
* **Type:** Geometric diagram.
* **Main Elements:** The diagram shows three adjacent rectangles and a shaded triangle formed by connecting vertices.
* Rectangle 1: Vertices A, B, C, D. AB is vertical, BC is horizontal.
* Rectangle 2: Vertices E, C, G, F. EC is vertical, CG is horizontal. Adjacent to Rectangle ABCD, sharing points C and D (Q is on CD, E is on AD). The line segment CD is the right side of rectangle ABCD. The line segment EC is the left side of rectangle ECGF. Points D, E are on a horizontal line, and C, G are on a horizontal line below. It appears E is on AD and C is on BC, which would make ABCD aligned with ECGF. However, based on the layout A, D, E, F, H are collinear and B, C, G, M are collinear. So, ABCD, ECGF, and FHKG are rectangles positioned side-by-side on a horizontal line.
* Rectangle 3: Vertices F, H, M, G. FH is vertical, HM is horizontal. Adjacent to Rectangle ECGF.
* Shaded Triangle: Triangle AKG. The shaded area is composed of two smaller triangles, AQG and QGK.
* **Points:** A, B, C, D, E, F, G, H, K, M, O, Q, p.
* A, D, E, F, H are collinear (likely on a horizontal line).
* B, C, G, M are collinear (likely on a horizontal line below the A-H line).
* ABCD, ECGF, FHKG are rectangles based on the arrangement of points.
* Q is a point on the side CD of rectangle ABCD (or the vertical line segment between D and C).
* K is a point on the side HM of rectangle FHKG (or the vertical line segment between H and M).
* O is a point on the line segment FK.
* P is a point inside triangle QOK. The label 'p' is near O.
* **Lines:** White lines form the boundaries of the rectangles and the triangles.
* Lines forming rectangle ABCD: AB, BC, CD, DA.
* Lines forming rectangle ECGF: EC, CG, GF, FE.
* Lines forming rectangle FHKG: FH, HM, MG, GF.
* Lines forming shaded triangle AKG: AK, KG, GA.
* Lines inside triangle AKG: QG, QK, QO, PK.
* **Shaded Areas:** The triangle AKG is shaded teal. It is subdivided by the line segments QG and QK into triangle AQG and triangle QGK.
* **Labels and Annotations:**
* Point labels: A, B, C, D, E, F, G, H, K, M, O, Q.
* Numerical label: "10" located above the line segment EF, likely indicating the length of EF.
* Alphabetical label: "p" located near point O, inside triangle QOK.
**Extracted Content:**
The image contains a geometric diagram depicting three adjacent rectangles and a triangle AKG which is shaded.
* **Rectangles:** ABCD, ECGF, FHKG. These rectangles are arranged horizontally side-by-side. Points A, D, E, F, H are on a horizontal line, and points B, C, G, M are on a parallel horizontal line below.
* **Points:** Labeled points are A, B, C, D, E, F, G, H, K, M, O, Q. There is also a label 'p' near O, inside the triangle QOK. Q is on the vertical line segment CD. K is on the vertical line segment HM. O is on the line segment FK.
* **Lines/Segments:** The sides of the rectangles and the segments AK, KG, GA, QG, QK, QO, PK are drawn.
* **Shaded Area:** The triangle AKG is shaded. The shaded area is divided into triangle AQG and triangle QGK by the segment QG.
* **Labels:**
* A, B, C, D, E, F, G, H, K, M, O, Q (point labels).
* "10" (numerical label near EF, likely length of EF).
* "p" (alphabetical label near O, inside triangle QOK).