Answer:
$3822
Step-by-step explanation:
We are given that Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom.
So, length of a rectangular family room must be 3.5 times larger than rectangular bedroom.
And Breadth of a rectangular family room must be 3.5 times larger than rectangular bedroom.
So, area of rectangular family room must be larger than rectangular bedroom by
times
So, Area of rectangular family room must be 12.25 times larger than rectangular bedroom
Now cost of carpet for bedroom = $312
So, cost of same carpet for family room = 
= 
Hence the cost to carpet the family room is $3822.