Name: Debbie Who is asking: Student Level of the question: Secondary Question: Geometry A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square. Find the dimension of the original square Hi Debbie. Remember that a square has all sides the same length. That means its side length is one quarter its perimeter. We'll be using that. Let's use some variable names: P = the perimeter of the new square p = the perimeter of the original square S = the side length of the new square s = the side length of the original square You are told that S = s + 2 and P + 3 = 5s and you want to find "s". So using the relationship between a square's side length and its perimeter (4S = P) we can see that we first substitute 4S for P in P + 3 = 5s and get 4S + 3 = 5s Now we substitute S = s + 2 into that to get 4(s+2) + 3 = 5s Now rearrange to solve for s. Stephen La Rocque>