Respuesta :

Answer:

x = 4

Step-by-step explanation:

Let

  • the length = 5x
  • the width = x - 3

Perimeter : 2( length + width)

Solve:

  • 2(5x + x - 3)
  • 2(6x - 3)
  • 12x - 6

The perimeter is given as 42 inches

So, 12x - 6 must equal 46 inches

Solve:

  • 42 = 12x - 6
  • 48 = 12x
  • x = 4

[tex]\boxed{\text{x=4 inches}}[/tex]

-Chetan K

x=4
5x+5x+x+x-6=42
12x=42+6
x=4