Question 153
Pedro has just moved into his new house and got a new bedroom. The following figure shows a simplified top view of his new room, which is $2~\mathrm{m}$ wide and $2.5~\mathrm{m}$ long.
The door shown in the figure is $50~\mathrm{cm}$ long and can be opened until it meets the side wall. The window is divided into two doors of the same length which, when opened, touch the neighboring walls. The arcs in the figure show the openings of the door and of the window. Pedro's mother told him that he must place his furniture in the room so that it is not in the paths where the door or the window open. How many square meters does Pedro have in his room to place his furniture?
The door shown in the figure is $50~\mathrm{cm}$ long and can be opened until it meets the side wall. The window is divided into two doors of the same length which, when opened, touch the neighboring walls. The arcs in the figure show the openings of the door and of the window. Pedro's mother told him that he must place his furniture in the room so that it is not in the paths where the door or the window open. How many square meters does Pedro have in his room to place his furniture?