给这个题目配上一个讲解视频，帮助学生更好的理解这个题目。---Here is the extracted content from the image:
**Introductory Text:**
为培养学生正确的劳动价值观和良好的劳动品质, 某校决定在一块长 16 m, 宽 12 m 的矩形荒地 ABCD 上建造一个花园, 要求花园所占面积为荒地 ABCD 面积的一半. 小明的设计方案如图①所示, 图中阴影部分表示花园.
**(1) Question Stem:**
(1) 请你帮小明求出图中的 x;
**(2) Xiaoming's Plan Characteristics and Question Stem:**
(2) 小明的方案具有如下 3 个特征:
① 花园既是轴对称图形又是中心对称图形;
② 花园的边沿与矩形荒地 ABCD 的四边都有公共部分;
③ 点 A,B,C,D 都i在花园外部.
请你设计一种具有以上特征且不同于小明的方案, 并说明方案的合理性. (要求: 在图②中画出示意图, 将花园涂成阴影, 并在图上标出必要的字母和数据.)
**Diagram Description:**
**图① (Figure ①):**
* **Type:** Geometric diagram illustrating a rectangular area with a cross-shaped shaded region inside.
* **Main Elements:**
* A rectangle labeled ABCD.
* Sides are labeled with lengths: AB = CD = 12 m, AD = BC = 16 m. (Note: The diagram shows 16 m along the top edge AD and 12 m along the left edge AB).
* A shaded area in the shape of a cross within the rectangle.
* Unshaded rectangular regions are present at the corners and between the arms of the cross.
* The width of the unshaded region between the shaded cross and the outer edge of the rectangle is labeled as 'x m' along the top, bottom, left, and right edges.
* The shaded cross is formed by a vertical rectangular part and a horizontal rectangular part overlapping in the center.
* Based on the 'x' label, the width of the shaded vertical bar is 16 - 2x, and its height is 12.
* The height of the shaded horizontal bar is 12 - 2x, and its width is 16.
* The overlap is a rectangle of size (16-2x) by (12-2x).
* The area of the shaded garden in Figure ① is given by the formula:
Area = Area(Vertical Bar) + Area(Horizontal Bar) - Area(Overlap)
Area = 12(16 - 2x) + 16(12 - 2x) - (16 - 2x)(12 - 2x)
Area = 192 - 24x + 192 - 32x - (192 - 32x - 24x + 4x^2)
Area = 384 - 56x - (192 - 56x + 4x^2)
Area = 192 - 4x^2.
**图② (Figure ②):**
* **Type:** Empty geometric diagram, a rectangle.
* **Main Elements:**
* A rectangle labeled ABCD.
* No internal features or shading are shown, intended for drawing a new design.
**Problem Context Details:**
* Wasteland ABCD is a rectangle with length 16 m and width 12 m.
* Area of wasteland ABCD = 16 m * 12 m = 192 sq m.
* Required garden area = Half of wasteland area = 192 / 2 = 96 sq m.
* Figure ① shows Xiaoming's design, the shaded part is the garden.
* Figure ② is for designing a new plan.
**Mathematical Formula/Equation (derived from problem description and Figure ①):**
Area of garden in Figure ① = 192 - 4x^2
Requirement: Area of garden = 96
Equation for Question (1): 192 - 4x^2 = 96
**Characteristics of Xiaoming's Plan (required for the new plan as well):**
① The garden is both an axisymmetric figure and a centrally symmetric figure.
② The edge of the garden has common parts with all four sides of the rectangular wasteland ABCD.
③ Points A, B, C, D are all outside the garden.