For a square, if one side is increased by 6cm and the other side is increased by 2cm, the area of the resulting large rectangle is increased by 108cm2 compared with the original square. Find the side length of the original square

For a square, if one side is increased by 6cm and the other side is increased by 2cm, the area of the resulting large rectangle is increased by 108cm2 compared with the original square. Find the side length of the original square

Let the side length of a square be a, 2A + 6A + 6 × 2 = 108, & nbsp; & nbsp; & nbsp; & nbsp; 8A + 12 = 108, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 8A = 96, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; a = 12