A rectangles perimeter is 124 ft. its length is 2 ft shorter than THREE TIMES its width. use an equation to find the rectangles length and width

Its width is___
its length is____

Respuesta :

Answer:

Length will be 46 ft and width will be 16 ft

Explanation:

Let the width be x.

then the length will be 3x - 2

using the rectangle perimeter formula:

2( length + width )

2(x + 3x-2) = 124

2(4x-2) = 124

8x - 4 = 124

8x = 128

x = 16 ft

Width will be 16 ft and

Length: 3x - 2

           : 3(16)-2

           : 46 ft

  • Width be n
  • Length is 3n-2

ATQ

[tex]\\ \tt\hookrightarrow 2(n+3n-2)=124[/tex]

[tex]\\ \tt\hookrightarrow 2(4n-2)=124[/tex]

[tex]\\ \tt\hookrightarrow 4n-2=62[/tex]

[tex]\\ \tt\hookrightarrow 4n=64[/tex]

[tex]\\ \tt\hookrightarrow n=16[/tex]

  • Width=16
  • Length=46 .