Answer:
$2496
Step-by-step explanation:
You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.
Area
The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.
In square yards, the area is ...
(6 yd)(8 yd) = 48 yd²
Cost
The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.
(48 yd²)($52/yd²) = $(48·52) = $2496
The total price to carpet the floor is $2496.
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Additional comment
We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.
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