The ratio of the length to the width of a rectangle is 14:5. If the length is reduced by 13 cm and the width is increased by 13 cm, the area is increased by 182 cm2. What is the area of the original rectangle?
一个长方形长与宽的比是14：5，如果长减少13厘米，宽增加13厘米，则面积增加182平方厘米，那么原长方形面积是多少平方厘米？
<gadget id="calculator">13 * 13</gadget>
<output>169</output>

<gadget id="calculator">169 + 182</gadget>
<output>351</output>

<gadget id="calculator">14 * 13</gadget>
<output>182</output>

<gadget id="calculator">5 * 13</gadget>
<output>65</output>

<gadget id="calculator">182 - 65</gadget>
<output>117</output>

<gadget id="calculator">351 / 117</gadget>
<output>3</output>

<gadget id="calculator">14 * 3</gadget>
<output>42</output>

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

<gadget id="calculator">42 * 15</gadget>
<output>630</output>

<result>630</result>