How do you find the breadth of a rectangle from the ratio of length to width if the perimeter is given?

To find the breadth (width) of a rectangle when given the ratio of length to width and the perimeter, you can start by using the perimeter formula: ( P = 2(L + W) ), where ( L ) is the length and ( W ) is the width. If the length to width ratio is given as ( L:W = a:b ), you can express ( L ) as ( L = \frac{a}{b}W ). Substitute this expression into the perimeter formula, solve for ( W ), and then use the perimeter value to find the breadth.