生成一个给我讲解这道题的视频---Question Stem:
五 求下列图中阴影部分的面积。
Figure (1):
Description: Geometric figure showing a shaded area composed of two adjacent triangular regions on a horizontal base, with an unshaded square positioned above the right part.
The shaded area is bounded by a horizontal base, a vertical line segment, and a slanted line segment.
- The horizontal base is divided into two segments of length 4 cm and 8 cm from left to right.
- A vertical line segment of length 4 cm extends upwards from the end of the 4 cm base segment.
- The shaded area includes a region on the left with a horizontal base of 4 cm and a height of 4 cm (forming a right triangle).
- The shaded area includes a region on the right with a horizontal base of 8 cm, bounded on the left by the top of the 4 cm vertical line segment and sloping down to the right end of the 8 cm base segment (forming a triangle with base 8 cm and height 4 cm).
- An unshaded square with side length 8 cm is positioned above the 8 cm base segment, with its bottom right corner aligned with the end of the 8 cm base segment.
Dimensions:
- Left horizontal base segment: 4 cm
- Vertical height at 4 cm mark: 4 cm
- Right horizontal base segment: 8 cm
- Side length of the unshaded square: 8 cm
Handwritten text below Figure (1):
118(cm²)
Figure (2):
Description: Shaded right triangle.
Dimensions:
- Horizontal base: 6 cm
- Vertical height: 9 cm
Handwritten text below Figure (2):
6×6÷9=4cm²)