MathDB
areas in pentagon (Croatian MO 2004 2nd Grade P1)

Source:

April 8, 2021
geometry

Problem Statement

Parts of a pentagon have areas x,y,zx,y,z as shown in the picture. Given the area xx, find the areas yy and zz and the area of the entire pentagon. https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvOS9mLzM5NjNjNDcwY2ZmMzgzY2QwYWM0YzI1NmYzOWU2MWY1NTczZmYxLnBuZw==&rn=U2NyZWVuIFNob3QgMjAyMS0wNC0wOCBhdCA0LjMwLjU1IFBNLnBuZw