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 369 in squared. Find the lengths of the s

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Question 1114169: 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 369 in squared. Find the lengths of the sides of the two squares.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
%28x%2B3%29%5E2%2Bx%5E2 = 369.


Solve this quadratic equation for x.


x%5E2+%2B+6x+%2B+9+%2B+x%5E2 = 369


2x%5E2+%2B+6x+-+360 = 0


x%5E2+%2B+3x+-+180 = 0


(x+15)*(x-12) = 0.


Answer.  The sides lengths are 12 and 15 cm.


Check.   12%5E2+%2B+15%5E2 = 369    ! Correct !

Solved.