Answer:
Part 1) [tex]A=16\ in^2[/tex]
Part 2) [tex]P=16\ in[/tex]
Step-by-step explanation:
we know that
A cube has six equal square faces
A cross-section perpendicular to one face of the cube is equal to a square
see the attached figure to better understand the problem
Part 1) Find the area of the cross section
The area of the square is
[tex]A=b^2[/tex]
where
b is the length side of the square
we have
[tex]b=4\ in[/tex]
substitute
[tex]A=4^2[/tex]
[tex]A=16\ in^2[/tex]
Part 2) Find the perimeter of the cross section
The perimeter of the square is
[tex]P=4b[/tex]
where
b is the length side of the square
we have
[tex]b=4\ in[/tex]
substitute
[tex]P=4(4)[/tex]
[tex]P=16\ in[/tex]
