The lengths of the sides of a rectangular window have the ratio 1.5 to 1. The area of the window is 1,350 square inches. What are the dimensions of the window?
Let x be the common factor between the lengths of the sides. The dimensions of the window can be represented as 1.5x and x.
The area of the window is length * width, so we have:
1.5x * x = 1,350
Simplifying, we get:
1.5x^2 = 1,350
Dividing both sides by 1.5, we get:
x^2 = 900
Taking the square root of both sides, we get:
x = 30
So the width of the window is 30 inches and the length is 1.5 * 30 = 45 inches.