Answer:
Dimensions of rug:
Length = 28 ft
Width = 27 ft
Step-by-step explanation:
The given dimensions of the room is:
Length = 30 ft
Width = 29 ft
Area of carpeting = 756 sq ft
Kindly refer to the attached image.
Let the uniform strip around floor is of length =
ft
This
feet will be 2 times along the length and
2 times along the width of room.
So, length of rug = 30 -2
and
Width of rug = 29 -2

It will be rectangular in shape.
Area of a rectangle is given as:


Negative length not possible.
So,Length of strip, 
Dimensions of rug:
Length = 30 -2 = 28 ft
Width = 29 -2 = 27 ft