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find the width of a rectangle whose length is twice it's width ,if it's perimeter is 84 m. With solution​

Sagot :

RobbieRavenclawgo

Answer:

The width of the rectangle is 14 m.

Step-by-step explanation:

Let w be the width

  • [tex]\tt{width=w}[/tex]
  • [tex]\tt{length=2w}[/tex]
  • [tex]\tt{P_{\boxed{\:\:}}=84}[/tex]

Formula

  • [tex]\tt{P_{\boxed{\:\:}}=2l+2w}[/tex]

Solution

  • [tex]\tt{P_{\boxed{\:\:}}=2l+2w}[/tex]

        [tex]\tt{84=2(2w)+2w}[/tex]

        [tex]\tt{84=4w+2w}[/tex]

        [tex]\tt{84=6w}[/tex]

        [tex]\tt{\frac{84}{6}=\frac{6w}{6}}[/tex]

        [tex]\boxed{\tt{14=w}}[/tex]

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