The floor plan of the school's lecture theater is a rectangle with a perimeter of 24 cm, and the ratio of the length to the width of the rectangle is 2:1. It is known that the scale of this plan is 1:200. What is the area of the school lecture hall in square meters?
学校的阶梯教室的平面图是一个周长为24厘米的长方形，该长方形长与宽的比是2：1．已知这幅平面图的比例尺是1：200．学校的阶梯教室占地面积是多少平方米．
<gadget id="calculator">2 + 1</gadget>
<output>3</output>

<gadget id="calculator">24 / 2 / 3</gadget>
<output>4</output>

<gadget id="calculator">1 / 200</gadget>
<output>1/200 = around 0.005</output>

<gadget id="calculator">2 / (1/200) / 100</gadget>
<output>4</output>

<gadget id="calculator">24 / 2 / 3 / (1/200) / 100</gadget>
<output>8</output>

<gadget id="calculator">4 * 4 * 8</gadget>
<output>128</output>

<result>128</result>