The ratio of the length of a rectangular room to its width is $5:3$. The perimeter of the room is 48 feet. What is the area of the room?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
The ratio of the length of a rectangular room to its width is $5:3$. The perimeter of the room is 48 feet. What is the area of the room?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
135\text{ square feet}
The ratio of the length of a rectangular room to its width is $5:3$. The perimeter of the room is 48 feet. What is the area of the room?
train