SOLUTION: The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 117 in^2. Find the lengths of the sides o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 117 in^2. Find the lengths of the sides o      Log On


   

Question 1186925: The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 117 in^2. Find the lengths of the sides of the two squares.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
x and x+3
the edge length of each square

x%5E2%2B%28x%2B3%29%5E2=117
x%5E2%2Bx%5E2%2B6x%2B9=117
2x%5E2%2B6x=108
x%5E2%2B3x=54
x%28x%2B3%29=54
6%2A9=54

Side length of small square is 6 inches.
Side length of big square is 9 inches.