Question

I need an explanation

Answer 1

`image`

`(A_(\triangle ADE))/(A_(\triangle ADB))=((AB)^2)/(4)\cdot(2)/((AB)^2)=(1)/(2)=\boxed{1:2}`

Answer 2

A triangle is always half the area of a rectangle for which it shares a side and has a third vertex on the opposite side of the rectangle.

So ADB is half the area of the square, and so is what's leftover, ADE+BDC. Since those are congruent because it's a midpoint, etc., each is one quarter the area of the square or one half the area of the middle triangle ADB.

Choice G. 1:2