Cut three cuts horizontally and five cuts vertically, divide a large square paper into 24 identical rectangular papers, and then divide one of the rectangular papers into small square papers with the largest possible area. Given that the side length of the small square is 5 cm, find the area of the large square.
横着剪三刀，竖着剪五刀，将一个大正方形纸片等分24张同样的长方形纸片，再把其中的一张长方形纸片等分成面积尽可能大的小正方形纸片．已知小正方形纸片的边长是5cm，求大正方形纸片的面积．
<gadget id="calculator">2 * 5</gadget>
<output>10</output>

<gadget id="calculator">10 * 6</gadget>
<output>60</output>

<gadget id="calculator">60 * 60</gadget>
<output>3_600</output>

<result>3_600</result>