Answer:
Number of of tiles will be [tex]x^2+12x[/tex].
Step-by-step explanation:
Given:
let 'x' represent the length of the room.
Width is 12 feet wider than its length.
Width = [tex]x+12[/tex]
Area of tiles = [tex]1 ft^2[/tex]
We need to find number of tile along the inside of the room.
First we will find Area of room.
Area of room will be equal to length times width.
framing in equation form we get;
Area of room = [tex]x(x+12)= x^2+12x[/tex] sq. ft.
Now Number of Tiles will be equal to Area of room divided by Area of tile.
framing in equation form we get;
Number of Tiles = [tex]\frac{x^2+12x}{1} = x^2+12x[/tex]
Hence Number of of tiles will be [tex]x^2+12x[/tex].
