13 x 13 feet is still moderately big room for one miner.
For 5 miners the heat would be a lot and all you have to do is keep the room temperature to the lowest.
I see lot of technical details above but frankly speaking when you set up your miners and do the work then you will understand actual situation in the room by assessing it with few factors such as:
1) You atmospheric temperature
2) Your room area
3) Volume of your Air Conditioner (if central then this wont count)
I have my own set up of two miners with similar room dimensions as yours but a little larger by 2 feet.
Honestly, that's huge area.
My set up is in temperate area where atmospheric temperature goes above 45 °C in summer and is always around 30-35°C on the average day.
I have only one Air Condition in place which is also only 15 tons and is average size AC in my country.
The whole set up can be seen as follows:
I would like to point out that I have made this assembly in a room which was built with 2-3 inch plywood and gypsum material. This is very poorly constructed in terms of fixed structure and thus there are minor openings in between two sheets and many times outer air flows in which could be hot air blow making huge fluctuations.
I am telling you the negative's in my set up because even after these unwelcomed conditions my miners temperature is around 40-60 °C. This further drops to 28-30°C in the winter and rainy season.
Image: Represents 2 Hrs of Graph for my miner with Sapphire Cards.[/center]
Scale & Descriptions:......... ---> Watt Graph (Yellow Dotted Line)
_____ ---> Hash Rate (Purple Line)
_____ ---> Temperature (Red Line)
_____ ---> Fan Speed (Blue Line)
You might be setting up ASICs, GPU's etc but remember one thing, just keep the Air Conditioners airflow directly onto your machines and you are good to go.
In my case as you can see, I have kept the miners fan direction opposite to each other and away from the AC's flow.
This literally sucks the cool air and throws away in the room. This does not at all heat up the room because over the time your room as whole gets cooled down!
Just in case if you are interested . . .
Part I - [GUIDE - Personal Experience] How to get started with MiningPart II - [GUIDE - Personal Experience] How to get started with Mining