jadenmaria jadenmaria
  • 24-03-2020
  • Mathematics
contestada

The length of a rectangle is one more than five
times its width. If the perimeter is 38, find the
dimensions

Respuesta :

Ursus Ursus
  • 24-03-2020

Answer:

[tex]Length=16\\\\Width=3[/tex]

Step-by-step explanation:

Let, the width of the rectangle be 'w'

Length of the rectangle= [tex]5w+1[/tex]

Perimeter of the rectangle=38

Perimeter of the rectangle= 2(Length+Width)

       [tex]38= 2(5w+1+w)\\\\38=2(6w+1)\\\\38/2=6w+1\\\\6w+1=19\\\\6w=19-1\\\\6w=18\\\\w=18/6\\\\w=3\\\\[/tex]

[tex]Width=3[/tex]

[tex]Length=5w+1= 5(3)+1=15+1=16[/tex]

[tex]Length=16\\\\Width=3[/tex]

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