hi guys

I need some help in solving this problem and another problem both extremely similar and both involving the use of the fraction sqrt3/2. I do not undeerstand this concept.

btw here is my question

In An equilateral triangle ABC of side x, a inscibed circle is drawn and then a cyclic square is drawn circumscribed by the circle. Find the area of the square

my other question is similar

in an equilateral triangle ABC of sides 2x, a rectangle is constructed with the midpoints AB and AC as two vertices and the other two lying on bc. I understand one side is x but how do you find the breadth

thnx in advance