Respuesta :

Perimeter

A rectangle is a perimeter of 78 feet what is the length and width

  • Let width of a rectangle = w meters
  • Length = 2w meters

Perimeter of a rectangle = 2( length + width )

[tex]\tt 78 = 2(2w+w) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\\ \tt 78 =6w \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \\ \tt width = 78/6 = \green{13 \: meters}\\ \tt length= 2w= \green{26 \: meters}[/tex]

To Check

Perimeter of a rectangle [tex] \tt P = 2(l + w)[/tex]

  • [tex] \tt P = 2(l + w)[/tex]
  • [tex] \tt P = 2(23m + 13m)[/tex]
  • [tex] \tt P = 2(39m)[/tex]
  • [tex] \tt P = \green{78m}[/tex]

Therefore, the length is 23m and the width is 13m

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