Answer:
l + w = 40, lw = 300
l(40 - l) = 300
40l - l² = 300
l² - 40l + 300 = 0
(l - 30)(l - 10) = 0
l = 30, w = 10
The length of the field is 30 meters, and the width of the field is 10 meters.
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