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?

Answer 1

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}}.