Level:
Project ID:
1103266406
Accepted:
1
Clonable:
0
Easy:
0
The medieval builder has a $5$-ell-long iron belt. His task is to shape the belt into a frame of the Romanesque window (that is the union of a rectangle and a semicircle, see the picture). Find the optimal width $x$ of the window to get as much light coming through the window as possible (i. e. the area of the window should be as large as possible). Express the result rounded in inches ($1\,\mathrm{ell} = 45\,\mathrm{inches}$).
$63$
$140$
$32$
$112$
$83$
$20$