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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 a...Question
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?
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GPT 3.5
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.
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.
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