160 acres.
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You haven't said a 'quarter' of what. If it's a quarter section, then there are 160 acres in it.
Assuming that there is nothing strange going on (e.g. sloppy surveying) there are 40 acres in the quarter-quarter section.
1 section = 640 acres(north HALF) of (southeast QUARTER) = (1/2) x (1/4) = 1/8th section = 640/8 = 80 acres
A quarter of a million. (250,000 acres)
There are 640 acres in a section.