We need to determine the expression that would represent the area of the scale drawing described in the problem. Two rectangular room which has a scale factor of 4 and this can be written as Area SR (area for small rectangle) / Area LR (area of the large rectangle).
We need also to take note that the actual area of the rectangular room is 150 ft². We have it like this:
Area LR / Area SR = 4:1
Area LR / 150 = 4
Area LR = 150*4
Area LR = 600 ft²
This is the area of the larger rectangular room "600 ft²".