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?(1 point)

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Answer 1

Let the length of the shorter side be x inches. The length of the longer side would then be 2.5x inches.
The area of the window is given as 2,250 square inches. The formula for the area of a rectangle is length multiplied by width. So, we have:
x * 2.5x = 2,250
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
So, the dimensions of the window are 30 inches by 75 inches (2.5 times 30).