Line segment ab was dilated to create line segment a'b' using the dilation rule dq,0.15.
what is x, the distance between points a and a'?

Given:

dilation factor of 0.15

if ab is 15 meters, the measurement of a'b' should be:

15 * 0.15 = 2.25 meters

if we plot these points and assume that ab and a'b' are equal in distance, we can determine x, the distance between points a and a' by drawing two similar triangles and solve by comparison.