If the median line of the trapezoid divides the area of the trapezoid into two parts of 1:2, find the ratio of the top and bottom of the trapezoid

If the median line of the trapezoid divides the area of the trapezoid into two parts of 1:2, find the ratio of the top and bottom of the trapezoid

Upper bottom a, lower bottom B
Median = (a + b) / 2
The area is divided into two parts: 1:2
Then [(a + b) / 2 + a] / [(a + b) + b] = 1 / 2
5a=b
a:b=1:5
That is, the ratio of top to bottom is 1:5