The length of a rectangle is 1 m more than twice its width. What is the length of the rectangle if its perimeter is 110 m?

1 Answer
Junaid Mirza
Jun 19, 2018

#111/3\ "m"#

Explanation:

  • Length# = ℓ#
  • Width# = w#

According to question

#ℓ = 2w + 1#

#w = (ℓ - 1)/2#

Perimeter#= 2(ℓ + w)#

#"110 m" = 2(ℓ + (ℓ - 1)/2)#

#"110 m" = (cancel(2)(2 ℓ + ℓ - 1))/cancel(2)#

#"110 m" = 3 ℓ - 1#

#"111 m" = 3 ℓ#

#ℓ = 111/3\ "m"#

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