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 of the window be 1x.

The area of the window is length x width, so we have (2.5x)(1x) = 2,250.

Expanding the equation gives 2.5x^2 = 2,250.

Dividing both sides of the equation by 2.5 gives x^2 = 900.

Taking the square root of both sides gives x = 30.

Thus, the width of the window is 30 inches and the length of the window is 2.5(30) = 75 inches.