The width of a rectangle is 1 less than one-half its length, and the perimeter is 46. Find the dimensions.

I need an equation with only one variable and I need the width and lenght of rectangle

Length is 26, width is 7

Step-by-step explanation:

Supposing y = width and x = length

We know from the question that

y = 1/2x - 1

And the perimeter of any rectangle is 2y + 2x

Substitute y for 1/2x-1

2 (1/2x-1) + 2x = 46

x - 2 + 2x = 46

3x = 48

x = 16

y = (1/2*16) - 1

y=7