Answer:
The resulting cross section is a square an the area is
![A=16\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t90m5bfkmnbnqux38pf2gllc0pf8ytvwwu.png)
Explanation:
we know that
All the faces of the cube are square with side lengths measuring 4 inches
If the cube was sliced parallel to the base
then
the cross section is a square with side lengths measuring 4 inches
so
The area of a square is
![A=b^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z7z681nqfs0ruu0905ybb033ebqg24se8n.png)
we have
![b=4\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/v235c7fguwtg1vklb3qgwf354knas47hf4.png)
substitute
![A=4^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lay30ng5joygjjvb87tt0c1nlof06365av.png)
![A=16\ in^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t90m5bfkmnbnqux38pf2gllc0pf8ytvwwu.png)