andrewradic27
andrewradic27 andrewradic27
  • 03-04-2019
  • Mathematics
contestada

A rectangle has a perimeter of p centimeters. Its width is b centimeters. Its length is double its width. Express p in terms of b.

Respuesta :

calculista
calculista calculista
  • 12-04-2019

Answer:

[tex]p=6b[/tex]

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of rectangle is equal to

[tex]P=2(x+y)[/tex]

[tex]P=p\ cm[/tex]

so

[tex]p=2(x+y)[/tex] -----> equation A

[tex]y=b\ cm[/tex] ----> given problem

[tex]x=2y[/tex] -------> [tex]x=2b\ cm[/tex]

substitute the value of x and the value of y in the equation A

[tex]p=2(2b+b)[/tex]

[tex]p=2(3b)[/tex]

[tex]p=6b[/tex]

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