EXPLANATION
We have the following facts from the statement:
Length = 22
Width = 15
We have 4 total rooms, thus we must add all the sides.
The equation for the perimeter (assuming L is the length and W is the width) is the following:
[tex]Perimeter=2L\text{ + 2W}[/tex]Plugin the length and width:
[tex]2*22+2*15=P[/tex]Multiplying numbers:
[tex]44+30=P[/tex]Adding numbers:
[tex]74=P[/tex]Switching sides:
[tex]Perimeter=\text{ 74}[/tex]In conclusion, the solution is 74.