Can I get some help on this please?

2:1 should be the scale factor

Step-by-step explanation:

The original area is 72cm^2 and the trapezoid  shown is 36cm^2. 72/2=36 so the scale factor is 2:1 or 1/2 the original trapezoid.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have