For a triangle, if the height increases by 6cm and the base remains unchanged, the area increases by 18cm**2; if the height remains the same and the base decreases by 4cm, the area decreases by 24cm**2. What is the area of the original triangle in square centimeters?
一个三角形，若高增加6cm，底不变，面积就增加18cm**2；若高不变，底减少4cm，面积就减少24cm**2．求原来三角形的面积是多少平方厘米？
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">24 * (1/2)</gadget>
<output>12</output>

<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>

<gadget id="calculator">18 * (1/3)</gadget>
<output>6</output>

<gadget id="calculator">6 / 2</gadget>
<output>3</output>

<gadget id="calculator">12 * 3</gadget>
<output>36</output>

<result>36</result>