Question

Please answer and explain the answer too for the question attached

Answer 1

Answer:

1:8

Step-by-step explanation:

xyzw : stuv= 1:2

stuv : opqr = 1:2

opqr :klmn = 1:2

hence

xyzw:klmn = 1:8

as everything is joined in midpoint

Answer 2

For a clear understanding,  let's divide the square into four.

The attachment is the square of the lower left.

Do you notice infinitely many similar triangles?

Try marking the upper right triangles if you didn't.

First, the whole square in the diagram is the largest. It will form KLMN.

Next, the triangle with side PQ takes half of the area. It will form PQRS.

Lastly, the triangle with side XY takes QUARTER of that area. It will form WXYZ.

1 * 1/2 * 1/4 = 1/8

So, we found the ratio becomes quarter every time after the first try. The ratio is therefore 1:8.