The formula of the perimeter of a rectangle is given as
P=2L+2W
where L is the length and W is the width. Substitution of the given values will yield,
58=2L+2W (1)
The next thing that we have to do is to translate the relationship between the two variables, L and W, into a mathematical equation.
So we have
L=2.5W+1 (2)
Now we have two equations, we also have two unknowns, so this problem is solvable. Substitution of equation (2) in (1) yields
58=2(2.5W+1)+2W
58=5w+2+2w
58=7W+2
56=7W
8=W
Substitution of this value to equation (2) yields
L=2.5(8)+1
L=21
So, the dimensions of the rectangle are:, specifically, width is equal to 8 while length is equal to 21.