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The answer is 200 square inches..

Answer:

A. \(\text{200 in}^2\).

Step-by-step explanation:

We are asked to find the area of the given face of the composite figure.

We can see that the given face consists two squares whose each side in 10 inches.

\(\text{Area of square}=a^2\), where a represents length of each side.

Since the face consists two squares, so area of the given face would be 2 times area of square.

\(\text{Area of the given face}=2\times a^2\)

\(\text{Area of the given face}=2\times(\text{10 in})^2\)

\(\text{Area of the given face}=2\times\text{100 in}^2\)

\(\text{Area of the given face}=\text{200 in}^2\)

Therefore, the area of the given face is 200 square inches and option A is the correct choice.