The length of the rectangular football field including both end zones is 120 yards. The area of the field is 57,600 ft.².

The width of the field is 160 feet: true or false?

Respuesta :

False, if the width of the field was 160 then the area would be 19,000 ft. The width would have to be 460 to equal 57,600 ft

Answer: True, the width of the field is 160 feet

Step-by-step explanation:

To find the width of the rectangular poll

Length of the poll is given as 120 yards

Since the area is given in ft², we need to convert the length from yard to feet

To calculate this;

1 yard       = 3 feet

120 yards  =  x

cross multiply

x =  120 ×  3 = 360 feet

Therefore; the length of the field = 120 yards =  360 feet

We can now go ahead and find the width

From the information given in the question;

Area of the rectangular foot ball field is 57, 600 ft²   and the length of the rectangular football field is 360 feet

Let w = width of the rectangular football field

Area =  Length ×  Width

 57,600 =  360  ×  w

To get the value of w, we divide both-side of the equation by 360

[tex]\frac{57600}{360}[/tex]     =    [tex]\frac{360w}{360}[/tex]

160  = w

w =  160 feet

Therefore; the width of the rectangular football field is 160 feet

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