Xiaoqiang runs around the rectangular playground every morning to exercise. The length of the rectangle is 50 meters longer than the width. He runs 4 laps a day and runs a total of 1200 meters. What is the area of this rectangular playground in square meters?
小强每天早上围着长方形操场跑步锻炼身体，长方形的长比宽多50米，每天跑4圈，共跑了1200米．问这个长方形操场的面积是多少平方米？
<gadget id="calculator">1_200 / 4 / 2</gadget>
<output>150</output>

<gadget id="calculator">150 - 50</gadget>
<output>100</output>

<gadget id="calculator">1 + 1</gadget>
<output>2</output>

<gadget id="calculator">100 / 2</gadget>
<output>50</output>

<gadget id="calculator">150 * 50</gadget>
<output>7_500</output>

<result>7_500</result>