Question
if a rectangular window has ratio of sides 2.5 to 1 and area of 2250 square inches. What are dimensions of window
Answers
GPT 3.5
Let's assume that the length of the rectangular window is 2.5x and the width is x.
According to the problem, the area of the window is 2250 square inches.
So, we have the equation: 2.5x * x = 2250.
Simplifying the equation, we get: 2.5x^2 = 2250.
Divide both sides of the equation by 2.5: x^2 = 900.
Taking the square root of both sides, we find: x = 30.
Therefore, the width of the window is 30 inches, and the length is 2.5 times that, which is 75 inches.
So, the dimensions of the window are 75 inches by 30 inches.
According to the problem, the area of the window is 2250 square inches.
So, we have the equation: 2.5x * x = 2250.
Simplifying the equation, we get: 2.5x^2 = 2250.
Divide both sides of the equation by 2.5: x^2 = 900.
Taking the square root of both sides, we find: x = 30.
Therefore, the width of the window is 30 inches, and the length is 2.5 times that, which is 75 inches.
So, the dimensions of the window are 75 inches by 30 inches.