A room is 19 feet long and 11 feet wide. Find the ratio of the length of the room to its perimeter. Express your answer in the form $a:b$.
Let's start by finding the perimeter of the room. Do you remember the formula for the perimeter of a rectangle? So the perimeter of this room is $2*19+2*11$. That's correct. Now we just need to divide the length of the room by its perimeter to get the ratio. So the ratio is $19/(2*19+2*11)$. Right. Now we just need to simplify our answer. The perimeter of the room is $2*19+2*11=38+22=60$. So the ratio is $19/60$. But we need to express our answer in the form $a:b$. That's easy. The ratio $19/60$ can be written as $19:60$. Yep. And that's our final answer.

