SOLUTION: The total area of two square windows is 1,025 in.2. Each side of the larger window is 5 in. longer than the sides of the smaller window. How long are the sides of the smaller windo

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: The total area of two square windows is 1,025 in.2. Each side of the larger window is 5 in. longer than the sides of the smaller window. How long are the sides of the smaller windo      Log On


   

Question 1016552: The total area of two square windows is 1,025 in.2. Each side of the larger window is 5 in. longer than the sides of the smaller window. How long are the sides of the smaller window? A=s^2
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Have you this situation?
x, the side length for the small window.
x+5, the side length of the big window.

Your equation for the start, highlight_green%28x%5E2%2B%28x%2B5%29%5E2=1025%29

x%5E2%2Bx%5E2%2B10x%2B25=1025
2x%5E2%2B10x%2B25-1025=0
2x%5E2%2B10x-1000=0
x%5E2%2B5x-500=0
highlight_green%28%28x-20%29%28x%2B25%29=0%29 which should make you feel very happy.