A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer region is 4 in. What is the area of the outer part of the rug?

Answer: area of the outer part of the rug = 16 - x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:

Area of the rug = 4² = 16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug = 16 - x²

Feel free to ask for more if needed or if you did not understand something.