Quadratic word problem - How do you find the width of 1item if you are given the combined area of 2 items.

Question

A picture and frame together have an area of 25. The frame is of uniform width. Find the width of the frame.

Answer 1

if w = width of the frame's border around the poster

0<w<2.5

if the poster is square shaped, w as an integer length, =1 or 2

if w=1, the poster is 3 by 3 = Area=9, frame+poster= 5 by 5 = Area=25

if w=2,the poster is 1 by 1=Area =1, frame+poster = Area= 25

if not a square, other possibilities, such as a rectangle 10 by 2.5 = Area = 25

with w= 1, as the only integer w, with the poster 8 by 1/2 with Area = 4

You need more information to get a unique solution

otherwise all you can really know is

0<w<2.5