Considering the vertex of the quadratic equation, the width that will maximize the area of the garden, and the maximum area, are as follows:
<h3>What is the vertex of a quadratic equation?</h3>
A quadratic equation is defined as follows:
y = ax² + bx + c.
The vertex can be either a maximum point or a minimum point, depending on the coefficient a, as follows:
The coordinates of the vertex are given as follows:
For this problem, the equation is:
A(w) = -10w² + 200w.
Hence the coefficients are:
a = -10, b = 200, c = 0.
The width that will maximize the area is:
w = -200/(2(-10)) = 200/20 = 10 ft.
The maximum area is of:
A = -(200)²/(4(-10)) = 1000 ft².
<h3>Missing Information</h3>
The problem is incomplete and could not be found on any search engine, hence we suppose that it asks for the width that will maximize the area of the garden, and the maximum area.
More can be learned about the vertex of the quadratic equation at brainly.com/question/24737967
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