SOLUTION: a square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 52 square feet, find the lengths of the sides of the poste

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: a square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 52 square feet, find the lengths of the sides of the poste      Log On


   



Question 832385: a square poster has sides measuring 2 feet less than the sides of a square sign. If the difference between their areas is 52 square feet, find the lengths of the sides of the poster and sign.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
x^2 - (x-2)^2 = 52
x^2 - (x^2 - 4x + 4) = 52
4x - 4 = 52
4x = 56
x = 14

poster side length = 12 ft
sign side length = 14 ft