Ayaka Ayaka
  • 18-07-2024
  • Mathematics
Middle School

The perimeter of a rectangle is 120 inches. The length is 10 inches more than the width. Find the length and width.

Answer :

gmany gmany
  • 18-03-2024

The formula of a perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

We have:

[tex]P=120\ in\\\\l=w+10[/tex]

Substitute

[tex]2(w+10+w)=120\\\\2(2w+10)=120\ \ \ \ |:2\\\\2w+10=60\ \ \ \ |-10\\\\2w=50\ \ \ \ |:2\\\\w=25\\\\l=25+10=35[/tex]

Answer: Length = 35 in, Width = 25 in.

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