Answer:
9.2
Step-by-step explanation:
The distance between opposite corners of the floor is the length of the floor's diagonal. This diagonal is a hypotenuse for a triangle with sides of 7 feet and 6 feet. Using the Pythagorean theorem, the length is then 7^2+6^2=x^2. Rounded to the nearest tenth, we get x=9.2 feet.