SOLUTION: The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 13,689 inches. Find the lengths of the

Algebra ->  Rectangles -> SOLUTION: The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 13,689 inches. Find the lengths of the      Log On


   

Question 980448: The length of each side of a square is 3 inches more than the length of each side of a smaller square. The sum of the areas of the squares is 13,689 inches. Find the lengths of the sides of the two squares.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Side length of small square, x.
Side length of other square, x+3.

Sum of areas of the two squares is 13689 square inches.

x%5E2%2B%28x%2B3%29%5E2=13689
and continue from this......


I am skipping the steps here, but just know that the value for x is
x=%28-3%2B3sqrt%283041%29%29%2F2, and that 3041 is a prime number.
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You can find x+3.