编写数学动画,现在以附件的形式给你一道数学题,请你给出详细的解答过程,因为你面对的是小学生群体,所以你要尽可能的详细,动画要生动,动画中图形和文字不要重叠。最后对大家的称呼是“同学们”,而不是“小朋友们”。
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**(单选题)** 某厂区如图所示,其中ABCD为矩形,ABEF为直角梯形,AB与DE相交于G点。其中阴影区域ADGF为涉密区域。已知AD、AF、AB长度分别为240米、150米、100米,问涉密区域的面积为多少万平方米?
**Options:**
A | 1.2
B | 1.3
C | 1.4
D | 1.5
**Chart Description:**
Type: Geometric diagram.
Main Elements:
- Points: A, B, C, D, E, F, G are labeled.
- Shapes:
- ABCD is a rectangle.
- ABEF is a right trapezoid with right angles at E and B (implied by the diagram showing EB perpendicular to EF and AB, and ABCD being a rectangle so AB is perpendicular to AD/BC). The parallel sides are EF and AB.
- ADGF is the shaded region, which is a quadrilateral.
- Lines: Lines connect the points forming the shapes. AB and DE intersect at point G.
- Relative Position and Direction:
- Point E is to the left of B, and E, B, C are collinear horizontally.
- Point F is above E, forming the height of the trapezoid.
- Point A is above B and to the right of F.
- Point D is to the right of A and above C.
- ABCD forms a rectangle with A top-left, B bottom-left, C bottom-right, D top-right relative to its orientation in the diagram, but typically a rectangle is described with vertices in order, e.g., top-left, top-right, bottom-right, bottom-left. Based on the diagram, it seems AB is vertical, BC is horizontal. Let's assume AB is a vertical side and AD is a horizontal side. However, the text says ABCD is a rectangle and ABEF is a right trapezoid. Given the orientation in the image, it looks like AB is vertical, BC is horizontal, making AD horizontal. Then ABEF is a right trapezoid with right angles at E and B, meaning AB is perpendicular to EB and EF. So E, B, C are on a horizontal line, and AB and EF are vertical. This contradicts ABCD being a rectangle unless AB is the height and AD is the width, and BC is also vertical and CD is horizontal, which isn't a rectangle. Let's reconsider the description based on the labels and typical geometry diagrams. If ABCD is a rectangle, AB is perpendicular to BC and AD, and BC is perpendicular to CD and AB. If ABEF is a right trapezoid, it has a pair of parallel sides (EF and AB) and two right angles (at E and B). The diagram shows AB and EF are vertical, and EB is horizontal. So EF is parallel to AB, and EB is perpendicular to both. This fits ABEF as a right trapezoid with right angles at E and B. In this configuration, if ABCD is a rectangle, AB is vertical and BC is horizontal, making AD horizontal and CD vertical. This fits the diagram. So, AB is a vertical side of the rectangle and the trapezoid. AD is a horizontal side of the rectangle. EB is a horizontal side of the trapezoid.
- Point G is the intersection of the line segment AB and the line segment DE. G is located on AB.
- Shaded Area: The region ADGF is shaded.
**Given Lengths:**
- AD = 240米 (meters)
- AF = 150米 (meters)
- AB = 100米 (meters)
**Question:**
Calculate the area of the shaded region ADGF in ten thousand square meters (万平方米).