On a floor plan drawn at a scale of 1:100, the area of a rectangular room is 30

c. what is the actual area of the room?

Assume that the dimensions of the room in the plan are a (width) by b (length),

such that a*b=30.

Since the scale is 1:100, a represents 100a, and b represents 100b.

So the actual dimensions are 100a by 100b.

The area is 100a*100b=a*b*10,000=30*10,000=300,000 (square units)

Answer: 300,000 (square units)