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ommunity Wellness Complex is being built in Del Rio. The perimeter of the rectangular playing field is 366 yards. The length of the field is 5 yards less than triple the width. What are the dimensions of the playing
his yards.
ath is yards

Respuesta :

  • Let width be x
  • Length=3x-5

[tex]\\ \rm\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \rm\longmapsto 2(x+3x-5)=366[/tex]

[tex]\\ \rm\longmapsto 2(4x-5)=366[/tex]

[tex]\\ \rm\longmapsto 4x-5=\dfrac{366}{2}[/tex]

[tex]\\ \rm\longmapsto 4x-5=183[/tex]

[tex]\\ \rm\longmapsto 4x=183+5[/tex]

[tex]\\ \rm\longmapsto 4x=188[/tex]

[tex]\\ \rm\longmapsto x=\dfrac{188}{4}[/tex]

[tex]\\ \rm\longmapsto x=47[/tex]

[tex]\\ \rm\longmapsto 3x-5=3(47)-5=141-5=146[/tex]

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