Answer to Question #86381 in Geometry for Megha

Question

A straight piece of wire of 28cm is cut into two pieces. One piece is bent into a square (i.e. dimensions x times x). The other piece is bent into a rectangle with aspect ratio three (i.e. dimensions y times 3y). What are dimensions, in centimeters, of the square and the rectangle such that the sum of their areas is minimized.