contestada

The length of a rectangle is six more than triple the width. If the perimeter is 156 inches, find the
dimensions.

Respuesta :

chetankachana

Answer:

Width = 18 inches

Length = 60 inches

Step-by-step explanation:

Hello!

Perimeter = [tex]2(l + w)[/tex]

Length = [tex]3w + 6[/tex]

Plug in the length value and perimeter into the perimeter equation to find the dimensions.

  • [tex]P = 2(l + w)[/tex]
  • [tex]156 = 2(3w + 6 + w)[/tex]
  • [tex]156 = 2(4w + 6)[/tex]
  • [tex]156 = 8w + 12[/tex]
  • [tex]144 = 8w[/tex]
  • [tex]18 = w[/tex]

Now find the length:

  • [tex]L = 3w + 6[/tex]
  • [tex]L = 3(18) + 6[/tex]
  • [tex]L = 54 + 6[/tex]
  • [tex]L = 60[/tex]

The width is 18, and the length is 60.