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?(1 point)
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Responses
Answers
GPT 3.5
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).
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).