computational, papefolding a square to get a nonagon
Source: 2013 (-14) Swedish Mathematical Competition p2
August 31, 2020
geometrypaperfoldingnonagonsquare
Problem Statement
The paper folding art origami is usually performed with square sheets of paper. Someone folds the sheet once along a line through the center of the sheet in orde to get a nonagon. Let be the perimeter of the nonagon minus the length of the fold, i.e. the total length of the eight sides that are not folds, and denote by s the original side length of the square. Express the area of the nonagon in terms of and .