The width of a soccer field should be 60% of its length. Write and simplify an expression for the perimeter of a soccer field with a length of x feet.

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Answer:

here you go

Step-by-step explanation:

W = (0.6) L

       P = 2  (  L + W  )

       P = 2  [  L + (0.6) L  ]

       P = 2  ( 1.6 L  )

       P = (3.2) L  

       P = (3.2) x

The perimeter of the soccer field with the length of [tex]x[/tex] feet is equal to

[tex]3.2x[/tex] feet.

What is the perimeter?

" Perimeter is defined as the total length around the given geometrical shape."

Formula used

Perimeter of the soccer field [tex]= 2 ( L + W)[/tex]

[tex]L=[/tex] length of the soccer field

[tex]W =[/tex] width of the soccer field

According to the question,

Given,

[tex]'x'[/tex] represents the length of the soccer field

As per the given condition,

Width = [tex]60\%[/tex] of length

          [tex]= \frac{60}{100} \times x\\\\= 0.6x[/tex]

Substitute the value in the formula to get the perimeter,

Perimeter of the soccer field [tex]= 2 ( x+ 0.6x)[/tex]

                                                 [tex]= 2(1.6x)\\\\= (3.2x) feet[/tex]

Hence, the perimeter of the soccer field with the length of [tex]x[/tex] feet is equal to [tex]3.2x[/tex] feet.

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