The lengths of the sides of a rectangular window have the ratio 2.5 to 1. The area of the window is 2,250 square inches. What are the dimensions of the window?
Let the length of the window be 2.5x and the width be x.
The area of the window is length * width = (2.5x)(x) = 2,250 square inches.
Expanding the expression, we get 2.5x^2 = 2,250.
Dividing both sides by 2.5, we get x^2 = 900.
Taking the square root of both sides, we get x = 30.
Therefore, the width of the window is x = 30 inches.
And the length of the window is 2.5x = 2.5*30 = <<2.5*30=75>>75 inches.
The dimensions of the window are 75 inches by 30 inches. Answer: \boxed{75 \text{ inches by } 30 \text{ inches}}.