haileylhatton147 haileylhatton147
  • 12-10-2021
  • Mathematics
contestada

The length of a rectangle is
4 meters less than 2 times the width. The perimeter is 22 meters. Find the width.

Respuesta :

bromungus bromungus
  • 12-10-2021

Answer:

5 meters

Step-by-step explanation:

We should derive an equation to solve this problem.

Let's assign x to width and y to length.

[tex]2x-4=y[/tex]

and

[tex]2x+2y=22[/tex]

so

[tex]2x+2(2x-4)=22[/tex]

[tex]2x+4x-8=22[/tex]

[tex]6x-8=22[/tex]

[tex]6x=30[/tex]

[tex]x=5[/tex]

Width = 5 meters

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