24. 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, we first need to understand that its dimensions are 100 times those of the floor plan. Given that the area of the floor plan is 8 square inches, we can calculate the area of the garage by scaling up the dimensions. If the area of the floor plan is \(A_f = 8\) square inches and the dimensions (length and width) of the garage are each scaled up by a factor of 100, the area of the garage \(A_g\) can be calculated as follows: \[ A_g = 100^2 \times A_f = 10,000 \times 8 = 80,000 \text{ square inches}. \] So, the area of the garage is 80,000 square inches!