The design of a square rug for your living room is shown. You want the area of the inner square to be 25% of the total area of the rug. Find the side length x of the inner square.

One side of the rug is 6 ft

If the square rug has a side length of 6, we can say that the area of the rug is 36 ft²

since the inner square has an area 25% of the rug's area, you multiply 36 by 0.25 to get 9 ft²

since we know that the area of the inner square is 9 ft², we can find the length of the inner square since x²=9 ft².

x=3 ft