1: 方格纸上图形的周长是 ( ) 厘米, 面积是 ( ) 平方厘米---**General Information:**
下面每个小方格都表示边长为 1 厘米的正方形。 (Below each small square represents a square with a side length of 1 centimeter.)
**Question 1:**
方格纸上图形的周长是 ( ) 厘米, 面积是 ( ) 平方厘米。(4分)
(The perimeter of the figure on the grid paper is ( ) centimeters, the area is ( ) square centimeters. (4 points))
**Question 2:**
画一个与已知图形周长相等的长方形, 你所画的长方形的面积是 ( ) 平方厘米。(4分)
(Draw a rectangle with the same perimeter as the given figure, the area of the rectangle you drew is ( ) square centimeters. (4 points))
**Chart/Diagram Description:**
* **Type:** Grid with a shape outlined in red.
* **Grid:** A rectangular grid composed of small squares. The grid is approximately 16 units wide and 8 units high.
* **Shape:** An L-shaped polygon outlined in red is drawn on the left side of the grid. The shape is formed by connected small squares.
* The shape consists of 6 small squares.
* The outline of the shape follows the grid lines.
* The shape can be described by its vertices or the arrangement of the squares. Starting from the bottom left corner of the shape:
* It goes up 3 units.
* It goes right 1 unit.
* It goes up 1 unit.
* It goes right 2 units.
* It goes down 1 unit.
* It goes right 1 unit.
* It goes down 3 units.
* It goes left 4 units to return to the starting point.
* Alternatively, the shape occupies the following squares relative to a bottom-left origin: (0,0), (1,0), (2,0), (3,0), (0,1), (1,1), (2,1), (0,2), (1,2), (2,2). The shape itself consists of the squares: (0,0), (1,0), (2,0), (0,1), (0,2), (1,2). (Assuming (0,0) is the bottom-left corner of the grid cell).
* Counting grid lines along the perimeter: Bottom edge is 4 units. Left edge is 3 units. Top edge segments are 1, 2, 1 units (total 4 units). Right edge segments are 1, 1, 1 units (total 3 units). This suggests the shape is 4 units wide and 3 units high overall, but with parts removed/added.
* Let's trace the perimeter starting from the bottom left corner and moving clockwise: Up 3 units, Right 1 unit, Up 1 unit, Right 2 units, Down 1 unit, Right 1 unit, Down 3 units, Left 4 units. Total perimeter segments: 3+1+1+2+1+1+3+4 = 16 units.
* Area: The shape is composed of 6 small squares. Since each square is 1 cm by 1 cm, its area is 1 square cm. The total area is 6 * 1 = 6 square cm.
* **Colors:** The grid lines are black. The outline of the shape is red.