A piece of square glass is cut off by 12 cm on one side and 8 cm on the other. The remaining rectangular area is 1760 square cm less than the original area. How long is the original side of this square glass?

A piece of square glass is cut off by 12 cm on one side and 8 cm on the other. The remaining rectangular area is 1760 square cm less than the original area. How long is the original side of this square glass?

Let the side length of the square be x 12x + 8x-12 × 8 = 1760 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 20x-96 = 1760 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 20x = 1760 + 96 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 1856 △ 20 & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; X = 92.8 A: the original side length of this square glass is 92.8 cm