The sum of the edge lengths of a rectangular frame is 120 cm, and the ratio of length, width, and height is 7:5:3. Now paste a layer of colored paper around the frame, how much colored paper is needed?
一个长方形框架的棱长总和是120厘米，长、宽、高的比是7：5：3．现在在这个框架的周围糊上一层彩纸，需要多大面积的彩纸？
<gadget id="calculator">120 / 4</gadget>
<output>30</output>

<gadget id="calculator">7 + 5 + 3</gadget>
<output>15</output>

<gadget id="calculator">7 / 15</gadget>
<output>7/15 = around 0.466667</output>

<gadget id="calculator">30 * (7/15)</gadget>
<output>14</output>

<gadget id="calculator">5 / 15</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">30 * (1/3)</gadget>
<output>10</output>

<gadget id="calculator">14 * 10</gadget>
<output>140</output>

<gadget id="calculator">3 / 15</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">30 * (1/5)</gadget>
<output>6</output>

<gadget id="calculator">14 * 6</gadget>
<output>84</output>

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

<gadget id="calculator">140 + 84 + 60</gadget>
<output>284</output>

<gadget id="calculator">284 * 2</gadget>
<output>568</output>

<result>568</result>