Arectangular pan has a length that is 4/3 the width. the total area of the pan is 432 in.2. what is the width of the cake pan? a = lw

L = 4/3w, based on the first sentence.
We know that A = w*l, or Area = width times length, for a rectangle
A = 432
432 = w * l
432 = w * (4/3w) 
432 = (4/3)(w²)        Multiply both sides by (3/4), or 1.25
540 = w²                  Take the square root of both sides
w = 23.23