a. If the area of the triangle is 1 m2, the area of the greatest square is 0´5 m2
b. The area of the next square is 0´25 m2, and the areas of the other squares are the half of its previous square.
c. If the area of the initial triangle is X, the area of the greatest square equals x/2, the next square´s area is equal to x/2^2, the next one equals x/2^3 , the next one is equals to x/2^4 , the next one equals x/2^5 and so on.
d. I believe to calculate these areas or continue calculating new squares´ areas, we only have to calculate the half of the previous square.