Completing the square: the length of the sides of a rectangular window have the ratio 1.6 to 1. the area of the window is 2822.4 in squared. what are the window dimensions?

Let be the dimensions of the rectangle. Given the ratio, we know that

The area is the multiplication of the dimensions, so we have

Dividing both sides by 1.6, we have

Take the square root of both sides:

Then, plug the equation for x in terms of y:

after simplifying it i got: -36.25 as my answer. hope that !

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