帮我解决一下这个问题,并用小孩子能听懂的方式讲解---**Extraction Content:**
**Question Stem:**
丁老师要用 32 m 长的木材围一个花园。在下面这四种方案中,正好能用 32 m 长的木材围成的是?
(Teacher Ding needs 32 m of wood to enclose a garden. Among the four schemes below, which one(s) can be exactly enclosed by 32 m of wood?)
**Geometric Figures and Dimensions:**
* Figure ①: A rectilinear polygon (stepped shape). Total bottom width is labeled as 10 m. Total height is labeled as 6 m.
* Figure ②: A parallelogram. Base length is labeled as 10 m. Vertical height is labeled as 6 m.
* Figure ③: A rectilinear polygon (cross-like shape with thickened arms). Total width is labeled as 10 m. Total height is labeled as 6 m.
* Figure ④: A rectangle. Width is labeled as 10 m. Height is labeled as 6 m.
**Options:**
(A) ① ② ③ ④
(B) ① ② ④
(C) ① ③ ④
(D) ② ③ ④
**Chart/Diagram Description:**
Type: A diagram showing four different geometric shapes labeled ①, ②, ③, and ④, along with dimension labels. Below the shapes are four multiple-choice options listing combinations of the shape labels.
Main Elements:
* Four shapes are displayed horizontally, numbered 1 through 4.
* Shape ① is a rectilinear shape with a wide base and stepped profile. Its total width is 10m and total height is 6m.
* Shape ② is a parallelogram. Its base is 10m and its vertical height is 6m.
* Shape ③ is a rectilinear shape resembling a symmetrical cross. Its total width is 10m and total height is 6m.
* Shape ④ is a rectangle. Its width is 10m and its height is 6m.
* Dimensions are indicated by double-headed arrows and text labels (10m and 6m) next to the corresponding sides or heights of the shapes.
* Below the shapes are four options (A), (B), (C), (D). Each option lists a set of shape numbers enclosed in circles (e.g., ① ② ③ ④).
Based on standard geometric formulas and the property of rectilinear polygons where the sum of horizontal segments equals twice the overall width and the sum of vertical segments equals twice the overall height for the perimeter calculation, the perimeters are:
* Perimeter of ① (Rectilinear): 2 * (10m + 6m) = 32m.
* Perimeter of ② (Parallelogram): 2 * (10m + slanted side). Since the slanted side is greater than the height (6m), the perimeter is greater than 2 * (10m + 6m) = 32m.
* Perimeter of ③ (Rectilinear): 2 * (10m + 6m) = 32m.
* Perimeter of ④ (Rectangle): 2 * (10m + 6m) = 32m.
The shapes with a perimeter of exactly 32m are ①, ③, and ④.