The ratio of length to width of a rectangle is 7:5. If the width is increased by 14 cm, the rectangle will become a square. The area of the original rectangle is___ Square centimeter

The ratio of length to width of a rectangle is 7:5. If the width is increased by 14 cm, the rectangle will become a square. The area of the original rectangle is___ Square centimeter

If the width of a rectangle is x cm, then the length is 75X cm. From the meaning of the title, we can get: 75X = x + 14, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; 25X = 14, & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; & nbsp; &; X = 35; 75 × 35 = 49 (CM), area of rectangle: 49 × 35 = 1715 (square cm); answer: area of original rectangle is 1715 square cm