the carpet is rectangular, thus its area is simply the product of its two dimensions, namely 8*6 = 48 m².
how much is the shaded area? well, since it's also rectangular, its area is also that product of 2*2 = 4, recal is a square so length = width = 2.
[tex]\bf \stackrel{\textit{how many times does 48 go into 4?}}{\cfrac{shaded}{total~area}\qquad \cfrac{4}{48}\implies \stackrel{simplified}{\cfrac{1}{12}}}[/tex]
