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Sagot :
The quadratic equation that would model this scenario is
[tex]x^{2} = 2x(x-16)[/tex]
Let us take the side of the square = x
Area of the square = x²
Length of the rectangular garden = 2x
Width of the rectangular garden = x-16
So, the area of the new vegetable garden = length*width
Area of the new or rectangular vegetable garden = 2x(x-16)
What is a quadratic equation?
The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by [tex]ax^2+bx+c[/tex]coefficient [tex]x^{2}[/tex]non-zero.
Since it is given that
Area of square garden = area of the rectangular garden
[tex]x^{2} = 2x(x-16)[/tex]
Thus, the quadratic equation that would model this scenario is
[tex]x^{2} = 2x(x-16)[/tex]
To get more about quadratic equations refer to:
https://brainly.com/question/1214333
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