JakyeT334301 JakyeT334301
  • 26-10-2022
  • Mathematics
contestada

The length of a rectangle is three times the width. The perimeter is 49 units. Find the length.

Respuesta :

BraileeK126708 BraileeK126708
  • 26-10-2022

The Solution:

Given:

Let the width be W.

Length: L= 3W

P=perimeter=49

Required:

Find the length.

The Formula:

[tex]P=2(L+W)[/tex]

Substitute:

[tex]49=2(3W+W)[/tex][tex]\begin{gathered} 49=2(4W) \\ \\ 49=8W \end{gathered}[/tex][tex]W=\frac{49}{8}=6.125\text{ units}[/tex]

The length is:

[tex]L=3(6.125)=18.375\text{ units}[/tex]

Answer:

18.375 units.

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