One side of a square is reduced by 10%, and the other side is increased by 2 decimeters to get a rectangle. The area of this rectangle is equal to that of the original square. The length of the original square is______ Decimeter

One side of a square is reduced by 10%, and the other side is increased by 2 decimeters to get a rectangle. The area of this rectangle is equal to that of the original square. The length of the original square is______ Decimeter

Let the side length be x meters, 10% X × x = (1-10%) x × 2, & nbsp; & nbsp; 0.1 x = 1.8, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 18; a: the side length of the original square is 18 decimeters