SOLUTION: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the squa

Algebra ->  Rectangles -> SOLUTION: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the squa      Log On


   

Question 1065524: The side of a square is 3 cm smaller than one of the sides of a rectangle and 2 cm greater than its other side. Find the side of the square, if it’s known that the area of the square is 30 cm2 less than the area of the rectangle.

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the side of the square. Then:
(n+3)(n-2)=n²+30
n²+n-6=n²+30
n=36
(n+3)(n-2)=1326 cm.²