If the length of a rectangle is increased by 2 centimeters, the area will increase by 8 square centimeters; if the width is increased by 2 centimeters, the area will increase by 12 square centimeters. What is the area of this rectangle in square centimeters?
一个长方形，如果长增加2厘米，面积就增加8平方厘米；如果宽增加2厘米，面积就增加12平方厘米．原来这个长方形的面积是多少平方厘米？
<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">8 / 2</gadget>
<output>4</output>

<gadget id="calculator">6 * 4</gadget>
<output>24</output>

<result>24</result>