Answer
The cost to carpet the room is $4802.56
Explanation
The area occupied by the carpet of 8 ft by 14 ft room = 14 x 8 = 112 square feet
The cost of 112 square feet carpet = $300
⇒ The cost per square feet = $300/112 = $2.68
The area occupied by the carpet of 32 ft by 56 ft room = 32 x 56 = 1792 square feet.
∴ The cost to carpet the room will be = 1792 x $2.68 = $4802.56
