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 How much carpet you need is found by taking length x width of the room. That gives you the square footage. Divide that by 9 and that gives you square yards.

 15 by 14 is 210 Sq ft which is 23.33 yards  If installation is 5$ a yard  Pad is 3$ a yard. Carpet you get a 12 $ a yard carpet (med. Grade) So right at about 500$ is what you'd be looking at

 12 × 16 =192 Sq ft. which is 21 1\3 yards    say you pay 2$ a Sq ft (18$ a yard)   pad runs you say 3$ Sq yard    and installation costs you 4$ Sq yd That scenario will cost out about $535.

 10 by 10 room  that is 100 Sq ft.  if you went with the $2.50 rule  250$.         more like 300-350.  first you can't buy a 10 x 10  it comes 12 wide. so your buying 120 Sq ft..  and labor on 13 yards that will be a minimum so 100-150.

 13 × 17 room = 221 Sq ft  24.5 yards if you go with the $2.50 a foot deal. (carpet+pad+labor=$2 50) it would be $ 552.50

Vinegar, water,  baking soda... 3 ingredients.     mix water with vinegar, 2:1, which is 2 cups water 1 cup vinegar .       use that mix to scrub the carpet.      then apply baking soda  let dry vacuum up. that's it.

 Yea $350 carpet pad & labor on a 10 x 12 room.   that is possible if you do your homework