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?

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Answer 1 · 2018-06-19T16:34:03

$111/3\ "m"$

According to question

$ℓ = 2w + 1$

$w = (ℓ - 1)/2$

Perimeter $= 2(ℓ + w)$

$"110 m" = 2(ℓ + (ℓ - 1)/2)$

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

$"110 m" = 3 ℓ - 1$

$"111 m" = 3 ℓ$

$ℓ = 111/3\ "m"$