Problema Solution
a square poster has sides measuring 2 feet less than the sides of a square sign. if the difference between their areas is 24 square feet, find the length of the sides of the poster and sign
Answer provided by our tutors
area = length * width
let 'x' represent the length of a side, in feet, of the poster, then 'x+2' represents the length of a side, in feet, of the sign
area of the poster: x^2
area of the sign: (x+2)^2
24 = (x+2)^2 - x^2
24 = x^2 + 4x + 4 - x^2
20 = 4x
x=5
5+2=7
the sides of the poster are 5 feet, the sides of the sign are 7 feet