FaustinG565995 FaustinG565995
  • 03-11-2022
  • Mathematics
contestada

The length of a rectangle is 2 meters less than 3 times the width. The perimeter is 60 meters. Find the width.The width ismeters.

The length of a rectangle is 2 meters less than 3 times the width The perimeter is 60 meters Find the widthThe width ismeters class=

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AaryonY499153 AaryonY499153
  • 03-11-2022

Step 1

Let x= the width

[tex]3x-2=length[/tex]

(because the length is 2 meters less than 3 times the width)

Step 2

The perimeter of a rectangle is given as;

[tex]\begin{gathered} P=2length+2width \\ P=2(3x-2)+2x \\ P=60 \end{gathered}[/tex][tex]\begin{gathered} 60=6x-4+2x \\ 60=8x-4 \\ 60+4=8x \\ x=8m \end{gathered}[/tex]

Answer;

[tex]Width=8m[/tex]

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