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In the NFL, a football field is 200 feet longer than it is wide, and the area of the field is 57,600ft^2
What is the width of the field?
(Before you mess this up, the field is not 100 yards long. You must include the lengths of the end Zones.) (And hey wait a second! Before you mess it up now, notice the problem is in
FEET.)

Respuesta :

rob0604

Answer

160ft

Step-by-step explanation:

Let the width be x.

Then the length is (x+200)

The area of the field=57600

Area=length*width

x(x+200)=57600

x^2+200x-57600=0

x=-360 or x=160

ashishdwivedilVT

The width and length of the football field are 160 feet and 360 feet respectively.

Suppose the width of the field = x

So, the length of the field =x+200

What is the area of a rectangle?

The area of a rectangle with length l and width b is lb.

So, the area of the football field =x(x+200)

Given that x(x+200)=57600

[tex]x^{2} +200x=57600[/tex]

[tex]x^{2} +200x-57600=0[/tex]

[tex]x=\frac{-200+\sqrt{200^2-4*1*(-57600)} }{2}[/tex]

x=160

So, the width of the field is 160 feet.

Hence, the width and length of the football field are 160 feet and 360 feet respectively.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

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