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?

Question

1437 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-19T16:34:03

#111/3\ "m"#

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"#