Cut a piece of square paper into a square with a side length of 5 cm, there are 99 more squares than the square with a side length of 6 cm, and there is no piece of paper left in both ways. What is the area of the square paper? square centimeter?
把一张正方形的纸剪成边长为5厘米的正方形，比剪成边长为6厘米的正方形多99个，两种剪法都没有余下一点纸片，原来这张正方形纸的面积是多少平方厘米？
<gadget id="calculator">5 * 5</gadget>
<output>25</output>

<gadget id="calculator">1 / 25</gadget>
<output>1/25 = around 0.04</output>

<gadget id="calculator">6 * 6</gadget>
<output>36</output>

<gadget id="calculator">1 / 36</gadget>
<output>1/36 = around 0.027778</output>

<gadget id="calculator">(1/25) - (1/36)</gadget>
<output>11/900 = around 0.012222</output>

<gadget id="calculator">99 / (11/900)</gadget>
<output>8_100</output>

<result>8_100</result>