4. The dimensions of a rectangular garage are 100 times the dimensions of a floor plan of the garage. The area of the floor plan is 8 square inches. What is the area of the garage?

To find the area of the garage, first, let's establish the dimensions. If the area of the floor plan is 8 square inches, we can denote the dimensions of the floor plan as length \( l \) and width \( w \) (where \( l \times w = 8 \) square inches). Now, since the dimensions of the garage are 100 times those of the floor plan, the dimensions of the garage become \( 100l \) and \( 100w \). To find the area of the garage, we calculate: \[ \text{Area of Garage} = (100l) \times (100w) = 10000(l \times w) = 10000 \times 8 = 80000 \text{ square inches.} \] So the area of the garage is 80,000 square inches!