Mathematics: The wall of downtown recreation center are being covered with paneling.the doorway into one room is 1 meter wide and 3 meters hight.whats the longest length of the longest rectangular panel that can be taken though the doorway

The wall of downtown recreation center are being

Ответ:

satwikap3304

17.01.2022

The longest length through a rectangle is the diagonal.

We use the Pythagorean Theorem:
$c^{2}=a^{2}+b^{2}$
⇒ $c^{2}=1^{2}+3^{2}$
⇒ $c^{2}=1+9$
⇒ $c^{2}=10$
⇒ $c=\sqrt{10}$

So the longest length that can be taken through the doorway is $\sqrt{10}$ .