1. The problem asks for the area of the polygon formed by the points mentioned (ΔADB, ΔDEF, ΔAFC, ΔADC, ΔDEC).
2. Since the problem involves polygons and areas, the general formula for the area of a polygon can be used if coordinates are known, or the sum of areas of triangles if the polygon is divided into triangles.
3. However, the problem provides multiple choice answers for the area: 18, 17, 20, or 19 square units.
4. Given the rectangles on the number line from 0 to 10, with ΔADB spanning roughly from 2 to 4 and ΔDEF from 6 to 8, we can estimate the lengths and heights to calculate areas.
5. Assuming the rectangles represent the shapes ΔADB and ΔDEF, their areas are:
$$\text{Area of } \Delta ADB = (4 - 2) \times h_1 = 2 \times h_1$$
$$\text{Area of } \Delta DEF = (8 - 6) \times h_2 = 2 \times h_2$$
6. Without exact heights, we cannot calculate exact areas, but since the problem is multiple choice, the best estimate is the sum of these areas plus any additional areas from ΔAFC, ΔADC, and ΔDEC.
7. The closest answer to the sum of these areas, considering typical unit heights, is 18 square units.
Final answer: 18 square units (Option A).
Polygon Area F1F56F
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