A scale drawing of a rectangular room measures 3¾ inches by 1½ inches. The scale is ¼ inch = 2 feet. Carpeting cost $15 per square foot. How much will it cost to buy enough carpet to cover the floor of the room?
$15 (3 3/4)/(1/4)*2 * (1 1/2)/(1/4)*2 = $5400
Or, since 1/4" : 2' = 1/4" : 24" = 1:96, and there are 144 in^2 in a ft^2,
$15(3 3/4 * 1 1/2) * 96^2 / 144 = $5400
2 ft / 1/4 in = 8 ft/in
3.75 in * 8 ft/in * 1.5 in * 8 ft/in * 15 dollars / ft^2 = ????
length in feet * width in feet * 15
i-
5400? idk dude
ahh ok thank you have a great day and stay safe~!
To find out how much it will cost to buy enough carpet to cover the floor of the room, we first need to calculate the area of the room.
The scale of the drawing is ¼ inch = 2 feet. This means that for every ¼ inch on the drawing, it represents 2 feet in real life.
In the drawing, the length of the room is 3¾ inches. We can convert this to feet by multiplying it by the scale factor:
3¾ inches * (2 feet / ¼ inch) = 30 feet
Similarly, the width of the room is 1½ inches, which in feet is:
1½ inches * (2 feet / ¼ inch) = 12 feet
Now we can calculate the area of the room by multiplying the length and width:
Area = length * width
Area = 30 feet * 12 feet = 360 square feet
The cost of the carpet per square foot is given as $15. To find the total cost, we multiply the area of the room by the cost per square foot:
Total cost = Area * cost per square foot
Total cost = 360 square feet * $15/square foot = $5400
Therefore, it will cost $5400 to buy enough carpet to cover the floor of the room.