find the length of the sides of the poster and the sign.

Question

A square poster has a side measuring 2 feet less than the side of a square sign, if the difference between their areas is 56 square feet, find the length of the sides of the poster and the sign.

Answer 1

s = side of poster

s + 2 = side of sign

 

s² = area of poster

s² + 4s + 4 = area of sign

 

s² + 4s + 4 - s² = 56

4s + 4 = 56

4s = 60

s = 15

 

The poster is 15 x 15, and the sign is 17 x 17.