SOLUTION: the combined area of two squares is 45 square centimeters. each side of one square is twice as long as the side of the other square. what is the length of each side of the larger s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: the combined area of two squares is 45 square centimeters. each side of one square is twice as long as the side of the other square. what is the length of each side of the larger s      Log On


   

Question 959373: the combined area of two squares is 45 square centimeters. each side of one square is twice as long as the side of the other square. what is the length of each side of the larger square
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
x=side of smaller square; 2x=side of larger square
x%5E2%2B%282x%29%5E2=45cm%5E2
x%5E2%2B4x%5E2=45cm%5E2
5x%5E2=45cm%5E2 Divide each side by 5.
x%5E2=9cm%5E2 Find the square root of each side.
x=3cm The side of the smaller square is 3 cm.
2x=2%283cm%29=6cm ANSWER: The sides of the larger square are 6 cm.
CHECK:
%283cm%29%5E2%2B%286cm%29%5E2=45cm%5E2
9cm%5E2%2B36cm%5E2=45cm%5E2
45cm%5E2=45cm%5E2