Problem

Source: 2016 (-17) Swedish Mathematical Competition p1

Tags: geometry, area, areas, max



In a garden there is an $L$-shaped fence, see figure. You also have at your disposal two finished straight fence sections that are $13$ m and $14$ m long respectively. From point $A$ you want to delimit a part of the garden with an area of at least $200$ m$^2$ . Is it possible to do this?