We are given
Marta is making a quilt in the shape of a square
The length of one edge of the quilt is 2g^2h^3
so, we get
[tex]s=2g^2h^3[/tex]
now, we know that
area of square = length *length
so, we get
[tex]A=s^2[/tex]
now, we can plug values
and we get
[tex]A=(2g^2h^3)^2[/tex]
we can simplify it
[tex]A=2^2(g^2)^2(h^3)^2[/tex]
[tex]A=4g^4h^6[/tex].............Answer