Question

Workers have 1600 m of fencing to enclose a rectangular area where a music festival will be held. The table represents a quadratic function that shows how the area of the rectangle formed by the fence depends on the length of the rectangle.
Length (m) Area (m²)
0 0
100 70,000
200 120,000
300 150,000
400 160,000
500 150,000
600 120,000
700 70,000
800 0

Select from the drop-down menu to correctly complete the sentence.

The x-coordinate of the vertex represents

the length that result in the largest possible area

the smallest possible area of the rectangle

the greatest possible length of any rectangle formed

the greatest possible area of a rectangle

Answer 1

This should get you a hundred on the 4.11 quiz. :)

Answer 2

The correct option is the x-coordinate of the vertex representing the length.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As it is given that the perimeter of the rectangular fencing is 1600 m.

Now, since the shape of the fence is rectangular, therefore, the x-coordinate of the vertex represents the length that results in the largest possible area, while the y-coordinate is the width of the rectangular fencing.

Hence, the correct option is the x-coordinate of the vertex representing the length.

Learn more about Quadratic Equations:

https://brainly.com/question/2263981