sharanaagati sharanaagati
  • 08-08-2020
  • Mathematics
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the width of a rectangle is 3 less than twice length. the perimeter is 51 cm . what is the length and width of the rectangle.

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FaDaReAdEoLa
FaDaReAdEoLa FaDaReAdEoLa
  • 08-08-2020

Answer:

[tex]length = x[/tex]

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

[tex]perimeter = 2(x + (2x - 3))[/tex]

[tex]51 = 2(3x - 3)[/tex]

[tex]51 = 6(x - 1)[/tex]

[tex]x - 1 = 8.5[/tex]

[tex]x = 9.5cm[/tex]

[tex]length = 9.5[/tex]

[tex]width = 2x - 3 = 2(9.5) - 3 = 16cm[/tex]

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