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?

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