Answer
$8 \sqrt 6$
Work Step by Step
$(x-h)^2=4p(y-k)$
or, $(4-0)^2=4p(10-12)$
or, $p=-2$
Now, $x^2=-8(y-12)$
or, $x^2=-8(0-12)$
$x=4 \sqrt 6$
The width at ground level is $2x= 8 \sqrt 6$
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