In a video game, a mouse runs from point A along a rectangular route, and a cat catches it from point A to the other direction of the rectangle at the same time. As a result, at point C, which is 6 cm away from the midpoint, the cat catches the mouse. It is known that the speed of a mouse is (11/14) that of a cat. Find the perimeter of the rectangle.
电子游戏，一只老鼠从A点沿着长方形路线跑，一只花猫同时从A点朝长方形的另一方向捕捉，结果在距离中点6厘米的C处，花猫抓住了老鼠．已知老鼠的速度是花猫的速度的(11/14)，求长方形的周长是多少．
<gadget id="calculator">11 / 14</gadget>
<output>11/14 = around 0.785714</output>

<gadget id="calculator">1 - (11/14)</gadget>
<output>3/14 = around 0.214286</output>

<gadget id="calculator">2 / (3/14)</gadget>
<output>28/3 = around 9.333333</output>

<gadget id="calculator">6 * (28/3)</gadget>
<output>56</output>

<gadget id="calculator">6 * 2</gadget>
<output>12</output>

<gadget id="calculator">56 - 12</gadget>
<output>44</output>

<gadget id="calculator">44 + 56</gadget>
<output>100</output>

<result>100</result>