Julie is constructing a scale model of her room.The rectangular room is 10 1/4 inches by 8 inches.If 1 inch represents 2 feet of the actual room,what is the scale factor and the actual area of the room?
Accepted Solution
A:
The way to determine this is to know that 1 foot is 12 inches (so 2 is 24) Now the ration that would determine the scale factor of the room is 1:24 (1 inch for every 24 inches) So the scale factor is 1:24 Now to determine the area we multiply the numbers we have by 2 and change the inches to feet (I hope that makes sense to you, it does to me, I'll show you) 10.25 * 2 = 20.5 ft. 8 * 2 = 16 ft. now we know the dimensions of the room so we need to find the area. A=B*H 20.5 * 16 = 328 so the area of the room is 328 ft.²