SOLUTION: A square poster has sides measuring 2 feet less than the sides of a square sign. if the difference between their areas is 48 square feet, find the lengths of the sides of the poste

Algebra ->  Surface-area -> SOLUTION: A square poster has sides measuring 2 feet less than the sides of a square sign. if the difference between their areas is 48 square feet, find the lengths of the sides of the poste      Log On


   



Question 304366: A square poster has sides measuring 2 feet less than the sides of a square sign. if the difference between their areas is 48 square feet, find the lengths of the sides of the poster and the sign.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the length of the sign be x feet
the poster length will be x-2 feet
since they are squares both sides are equal
x^2-(x-2)^2= 48 square feet
x^2-(x^2-4x+4) =48
x^2-x^2+4x-4=48
4x= 48+4
4x=52
x= 13 feet
poster will be 11 feet