The floor of Xiaoli's study is a square, and now she wants to pave the floor tiles for the study, whether she chooses a square floor tile with a side length of 40cm or a square floor tile with a side length of 55cm, it will be exactly covered. What is the minimum area of Xiaoli's study in square meters?
小丽的书房的地面是个正方形，现在要给书房铺地砖，无论选择边长是40cm的正方形地砖，还是选择边长是55cm的正方形地砖，都恰好铺满．小丽的书房的面积至少是多少平方米？
<gadget id="calculator">55 / 10_000</gadget>
<output>11/2_000 = around 0.0055</output>

<gadget id="calculator">2 * 2 * 2 * 55 * 2 * 2 * 2 * (11/2_000)</gadget>
<output>484/25 = around 19.36</output>

<result>484/25 = around 19.36</result>