Amap has the scale 2 centimeters = 1 kilometer. on a map, the area of a forest preserve is 3.8 square centimeters. what is the area of the actual forest preserve

We know that
the scale is 2 cm/1 km
on a map, the area of a forest preserve is 3.8 cm²
assuming it has a square shape
the length side of the square is √3.8 cm
so
if 2 cm on a map> is a 1 km in the actual
 √3.8 cm> x
x=√3.8/2 km

the area of the actual forest preserve is
(√3.8/2)*(√3.8/2)> 3.8/4---> 0.95 km²

the answer is
0.95 km²