Answer:
C
D
Explanation:
part A
an area is always the multiplication of 2 dimensions (which leads to a square for totally regular shapes like a square or a circle).
in case of a rectangle it is length × width.
and that means in our case here
1 mile × 1/6 mile = 1/6 mile²
after all, 1×1/6 = 1/6.
I know this might look disappointing, but do not forget : a mile² is something else than a mile.
part B
3/4 (or any fraction) of something means to "apply" a factor of 3/4 (that fraction) to that something.
3/4 of 12 apples = 3/4 × 12 = 3×12/4 = 36/4 = 9
and indeed, 9 apples represent 3/4 of 12 apples.
so, yes, it means we need to multiply by the top part of the fraction (numerator) and divide by the bottom part (denominator).
therefore, D is the right answer.
for our example here, 3/4 of 1/6 mile² is
3/4 × 1/6 = 3/24 = 1/8 mile²