You can't convert between units of area and units of length.
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There are 640 acres in 1 square mile. So (1/2 mile)*(1/4 mile) = 1/8 square mile, or:(1/8 square mile)*(640 acre/square mile) = 80 acres
You haven't said a 'quarter' of what. If it's a quarter section, then there are 160 acres in it.
One square mile is 640 acres.
There are 40 acres in 1/16th of a square mile 1 square mile = 640 acres
The answer is 16 000 acres.