The ratio of length to width of a rectangle is 3:2. If the length is reduced by 450 cm and the width is increased by 450 cm, the area of the rectangle will be reduced by 22500 square centimeters. What is the area of the original rectangle in square centimeters?
一个长方形长宽之比为3：2，如果长减少450厘米，宽增加450厘米，长方形面积就减少22500平方厘米，原来长方形面积是多少平方厘米．
<gadget id="calculator">450 * 450</gadget>
<output>202_500</output>

<gadget id="calculator">202_500 - 22_500</gadget>
<output>180_000</output>

<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">450 * (2/3)</gadget>
<output>300</output>

<gadget id="calculator">450 - (2/3) - 300</gadget>
<output>448/3 = around 149.333333</output>

<gadget id="calculator">(2/3) + (448/3)</gadget>
<output>150</output>

<gadget id="calculator">180_000 / 150</gadget>
<output>1_200</output>

<gadget id="calculator">1_200 * (2/3) * 1_200</gadget>
<output>960_000</output>

<result>960_000</result>