Answer:
 380.25 ft²
Step-by-step explanation:
 perimeter of a room 
 P = 78 ft
 And formula for Perimeter is
 P = 4 L  ( equation no 1 )
 Put the value of P in equation no 1.
 78 = 4 L
 L = 78/4
  L = 19.5
 
As we know that if the room is square then it has 4 equal sides .
 so the Area will be :
  A = L × W
 A = 19.5 × 19.5
  A = 380.25 ft²