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  • 19-03-2020
  • Mathematics
contestada

1. The length of a rectangle is five more than the width. Find the length of the rectangle if the perimeter
of the rectangle is 60 inches.

Respuesta :

Ursus Ursus
  • 20-03-2020

Answer:

[tex]Width=12.5 inch\\Length=17.5 inch[/tex]

Step-by-step explanation:

Let, width of the rectangle be 'w'

length of the rectangle=w+5

Perimeter=60 inches

Perimeter of the rectangle=2(Length+width)

[tex]60=2(w+5+w)\\\\60=2(2w+5)[/tex]

Dividing by '2' both sides:

[tex]2w+5=60/2\\\\2w+5=30[/tex]

Subtracting '5' both side:

[tex]2w=30-5\\\\2w=25[/tex]

Dividing by '2' both side:

[tex]w=25/2\\\\w=12.5 inch\\\\Width=12.5 inch[/tex]

[tex]Length=width+5=12.5+5=17.5 inch[/tex]

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