The length of rectangle is 37 cm
Solution:
Given that,
Given is a rectangle
The length is 1cm more than twice the width
Let "w" be the width
Then,
length = 1 + 2w
Perimeter = 110 cm
The perimeter of rectangle is given as:
perimeter = 2(length + width)
Substitute the above values,
[tex]110 = 2(1 + 2w + w)\\\\110 = 2(1 + 3w)\\\\110 = 2 + 6w\\\\6w = 110 - 2\\\\6w = 108\\\\w = \frac{108}{6} = 18[/tex]
Therefore,
Length = 1 + 2w = 1 + 2(18) = 1 + 36 = 37
Thus length of rectangle is 37 cm