Step-by-step explanation:
Length of the room is 5 ft and the width is 8 ft.
Perimeter is equal to the sum of all sides of the room.
The shape of room is rectangle.
The perimeter of rectangular room is given by :
[tex]P=2(L+B)\\\\P=2(5+8)\\\\P=26\ ft[/tex]
Area of a rectangular shaped room is given by :
[tex]A=L\times B\\\\A=5\times 8\\\\A=40\ ft^2[/tex]
So, the perimeter and area of the rug are 26 feet and 40 sq feet.